Percolation Math Research Topics Ideas [MS PHD]

  1. Density and uniqueness in percolation
  2. Percolation theory and some applications
  3. Epidemic models and percolation
  4. Percolation processes and related topics
  5. A percolation formula
  6. A surface view of first-passage percolation
  7. Percolation theory and network modeling applications in soil physics
  8. Transport properties of rocks from statistics and percolation
  9. Percolation and disordered systems
  10. One-arm exponent for critical 2D percolation
  11. Invasion percolation: a new form of percolation theory
  12. Sixty years of percolation
  13. Lipschitz percolation
  14. Microstructures, percolation thresholds, and rock physical properties
  15. Percolation theory
  16. Random wavefunctions and percolation
  17. Directed percolation in 2+ 1 dimensions
  18. Large deviations for three dimensional supercritical percolation
  19. Percolation processes in three dimensions
  20. The abundance threshold for plague as a critical percolation phenomenon


  1. Percolation processes in d-dimensions
  2. Percolation theory
  3. Long range percolation in one dimension
  4. Random walks and percolation on trees
  5. Percolation on heterogeneous networks as a model for epidemics
  6. Percolation theory and first-passage percolation
  7. A crossing probability for critical percolation in two dimensions
  8. Critical percolation in finite geometries
  9. Critical exponents for two-dimensional percolation
  10. Epidemics, disorder, and percolatioN
  11. Percolation theory and its application to groundwater hydrology
  12. Percolation theory and its ramifications
  13. Percolation since Saint-Flour
  14. Conformal invariance in two-dimensional percolation
  15. On continuum percolation
  16. Precise determination of the critical threshold and exponents in a three-dimensional continuum percolation model
  17. The sharpness of the phase transition in percolation models
  18. A survey of dynamical percolation
  19. Analysis of fracture network connectivity using percolation theory
  20. The effect of polymer particle size on three-dimensional percolation in core-shell networks of PMMA/MWCNTs nanocomposites: Properties and mathematical percolation …
  21. Percolation processes in two dimensions. I. Low-density series expansions
  22. On the chemical distance for supercritical Bernoulli percolation
  23. Chemical model of coal devolatilization using percolation lattice statistics
  24. The effect of a percolation threshold in the Kozeny-Carman relation
  25. Percolation
  26. Topological properties of percolation clusters
  27. Order propagation near the percolation threshold
  28. Percolation with trapping
  29. On the spreading of two-dimensional percolation
  30. Critical percolation in annuli and SLE 6
  31. Explosive percolation in random networks
  32. New critical exponent inequalities for percolation and the random cluster model
  33. Structure and perimeters of percolation clusters
  34. A note on percolation
  35. A modeling analysis of monoclonal antibody percolation through tumors: a binding-site barrier.
  36. Crossing probabilities for Voronoi percolation
  37. Percolation theory and some applications
  38. Self-similarity and correlations in percolation
  39. Percolation critical exponents under the triangle condition
  40. Critical percolation and conformal invariance
  41. Contact network epidemiology: Bond percolation applied to infectious disease prediction and control
  42. Percolation behavior of permeable and of adhesive spheres
  43. The fractal dimension of the minimum path in two-and three-dimensional percolation
  44. On the scaling limits of planar percolation
  45. Bond percolation processes in d dimensions
  46. Spectral analysis of percolation Hamiltonians
  47. The geometry of critical percolation and conformal invariance
  48. Percolation transition in the Bose gas: II
  49. What is percolation?
  50. Backbone and the elastic backbone of percolation clusters obtained by the new method of burning
  51. A bond percolation critical probability determination based on the star-triangle transformation
  52. Percolation processes: I. Crystals and mazes
  53. The chemical distance distribution in percolation clusters
  54. Recent advances and open challenges in percolation
  55. Invasion percolation and the incipient infinite cluster in 2D
  56. On the percolation BCFT and the crossing probability of Watts
  57. Critical percolation on any nonamenable group has no infinite clusters
  58. The Ising model and percolation on trees and tree-like graphs
  59. Group-invariant percolation on graphs
  60. Mean quantum percolation
  61. The critical probability of bond percolation on the square lattice equals 1/2
  62. Oriented percolation in two dimensions
  63. Geometrical percolation threshold of overlapping ellipsoids
  64. Cluster structure near the percolation threshold
  65. Percolation on uniform infinite planar maps
  66. Application of a percolation model to flow in fractured hard rocks
  67. Directed percolation: a finite-size renormalisation group approach
  68. A remark on a theorem of Chatterjee and last passage percolation
  69. Percolation in random fields. I
  70. Percolation Beyond , Many Questions And a Few Answers
  71. Percolation processes in two dimensions IV. Percolation probability
  72. First-passage percolation on the square lattice
  73. Some Applications of the Percolation Theory. Brief Review of the Century Beginning
  74. Mixed percolation as a bridge between site and bond percolation
  75. On the uniqueness of the infinite cluster in the percolation model
  76. Continuum percolation in two dimensions: Monte Carlo tests of scaling and universality for non-interacting discs
  77. Disagreement percolation in the study of Markov fields
  78. On the hull of two-dimensional percolation clusters
  79. Re-examination of 3D percolation threshold estimates
  80. A mini course on percolation theory
  81. Percolation threshold of a random array of discs: a numerical simulation
  82. On a continuum percolation model
  83. Mean-field critical behaviour for percolation in high dimensions
  84. Metastability effects in bootstrap percolation
  85. Monotonicity of uniqueness for percolation on Cayley graphs: all infinite clusters are born simultaneously
  86. Percolation points and critical point in the Ising model
  87. Oriented bond percolation
  88. Bernoulli percolation above threshold: an invasion percolation analysis
  89. Equivalence of several generalized percolation models on networks
  90. Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation


  1. Percolation problems and phase transitions
  2. Percolation and phase transitions in the Ising model
  3. Site percolation threshold for square lattice
  4. Simple cubic random-site percolation thresholds for complex neighbourhoods
  5. Percolation by position-space renormalisation group with large cells
  6. The supercritical phase of percolation is well behaved
  7. Spreading of percolation in three and four dimensions
  8. Cluster shapes at the percolation threshold: and effective cluster dimensionality and its connection with critical-point exponents
  9. The fractal dimension of percolation cluster hulls
  10. The efficient determination of the percolation threshold by a frontier-generating walk in a gradient


  1. Inequalities with applications to percolation and reliability
  2. Percolation in high dimensions
  3. On monochromatic arm exponents for 2D critical percolation
  4. Temporal percolation of the susceptible network in an epidemic spreading
  5. On the behavior of some cellular automata related to bootstrap percolation
  6. Percolation and motion in a simple random environment
  7. Crossing probabilities for planar percolation
  8. Covering algorithms, continuum percolation and the geometry of wireless networks
  9. Simultaneous analysis of three-dimensional percolation models
  10. Diffusion on percolation clusters at criticality


  1. The growth of the infinite long-range percolation cluster
  2. On the Convergence of FK–Ising Percolation to SLE(16/3,(16/3)-6)
  3. A lower bound on the two-arms exponent for critical percolation on the lattice
  4. Percolation processes
  5. Concentration gradient approach to continuum percolation in two dimensions
  6. Interstellar travel and galactic colonization: Insights from percolation theory and the yule process
  7. Fire spread and percolation modelling
  8. On the critical probability in percolation
  9. Percolation with restricted valence
  10. A universality property for last-passage percolation paths close to the axis


  1. Percolation probabilities on the square lattice
  2. Explosive percolation is continuous
  3. Surface order large deviations for high-density percolation
  4. Percolation on Grigorchuk groups
  5. Percolation in∞+ 1 dimensions
  6. Percolation on nonamenable products at the uniqueness threshold
  7. On non-uniqueness of percolation on nonamenable Cayley graphs
  8. Prime percolation
  9. Uniqueness and non-uniqueness in percolation theory
  10. Line percolation


  1. Geodesics in two-dimensional first-passage percolation
  2. Applications of percolation theory to fungal spread with synergy
  3. Critical exponents of planar gradient percolation
  4. Percolation theory and conductivity of strongly inhomogeneous media
  5. Accessible external perimeters of percolation clusters
  6. Dynamic renormalization and continuity of the percolation transition in orthants
  7. Invasion percolation: new algorithms and universality classes
  8. Percolation theory at the critical dimension
  9. Temporal development of invasion percolation
  10. Bond-site percolation: empirical representation of critical probabilities


  1. Relations between invasion percolation and critical percolation in two dimensions
  2. Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits
  3. On the continuity of the percolation probability function
  4. Monte Carlo studies of two-dimensional percolation
  5. On two-dimensional percolation
  6. Proof of crossing formula for 2D percolation
  7. Equivalence of the void percolation problem for overlapping spheres and a network problem
  8. Independent and dependent percolation
  9. Exact bond percolation thresholds in two dimensions
  10. The triangle condition for percolation


  1. Spectral properties of the Laplacian on bond-percolation graphs
  2. Brochette percolation
  3. Percolation on finite graphs and isoperimetric inequalities
  4. Cumulative merging percolation and the epidemic transition of the susceptible-infected-susceptible model in networks
  5. Connectivity of fracture systems-a percolation theory approach
  6. Nearest-neighbor percolation function is continuous for
  7. On the scaling of the chemical distance in long-range percolation models
  8. Infinite clusters in dependent automorphism invariant percolation on trees
  9. On chemical distances and shape theorems in percolation models with long-range correlations
  10. An experimental approach to the percolation of sticky nanotubes


  1. Connectivity properties of Mandelbrot’s percolation process
  2. Percolation and conductivity: A computer study. I
  3. Arm exponents in high dimensional percolation
  4. Noise sensitivity of Boolean functions and applications to percolation
  5. Topological data analysis of continuum percolation with disks
  6. Strict monotonicity for critical points in percolation and ferromagnetic models
  7. The correlation length for the high-density phase of Bernoulli percolation
  8. Continuum nonsimple loops and 2D critical percolation
  9. On the density of state for the quantum percolation problem
  10. Universal correlations in percolation


  1. Reaction and transport in disordered composite media: introduction of percolation concepts
  2. Percolation of disordered jammed sphere packings
  3. A new proof of the sharpness of the phase transition for Bernoulli percolation on
  4. Mathematical model and numerical simulation of coalbed methane percolation flow equation considering slippage effects
  5. Topological estimation of percolation thresholds
  6. Percolation and related topics
  7. Crossing probability and number of crossing clusters in off-critical percolation
  8. Efficient measurement of the percolation threshold for fully penetrable discs
  9. Percolation theory of two phase flow in porous media
  10. A network percolation-based contagion model of flood propagation and recession in urban road networks


  1. An introduction to percolation theory
  2. Ordinary percolation with discontinuous transitions
  3. Fluctuation effects in metapopulation models: percolation and pandemic threshold
  4. Experimental and numerical simulation on the influence of anisotropic fracture network deformation to shale gas percolation
  5. On the uniqueness of the infinite occupied cluster in dependent two-dimensional site percolation
  6. Natural parametrization of percolation interface and pivotal points
  7. Isoperimetry and heat kernel decay on percolation clusters
  8. Percolation of finite clusters and infinite surfaces
  9. Diffusion percolation. I. Infinite time limit and bootstrap percolation
  10. Space-time percolation


  1. Long-range percolation in one dimension
  2. Quantifying scale-dependent effects of animal movement with simple percolation models
  3. Dynamics of forest fires as a directed percolation model
  4. Monte Carlo renormalisation-group approach to percolation on a continuum: test of universality
  5. First passage percolation has sublinear distance variance
  6. Critical exponents for the percolation problem and the Yang-Lee edge singularity
  7. Critical probability bounds for two-dimensional site percolation models
  8. Percolation and conduction in a random resistor-diode network
  9. Percolation and criticality in a mitochondrial network
  10. On the spreading dimension of percolation and directed percolation clusters


  1. Lattice animals and percolation
  2. Impact of single links in competitive percolation
  3. Universality for bond percolation in two dimensions
  4. Multifragmentation: nuclei break up like percolation clusters
  5. Generation of percolation cluster perimeters by a random walk
  6. Linear algebra and bootstrap percolation
  7. Percolation in a hierarchical lattice
  8. Percolation, connectivity, coverage and colouring of random geometric graphs
  9. Sharp thresholds and percolation in the plane


  1. On the upper critical dimension of Bernoulli percolation
  2. Percolation in half-spaces: equality of critical densities and continuity of the percolation probability
  3. Frozen percolation in two dimensions
  4. Percolation theory approach to transport phenomena in porous media
  5. Percolation of localized attack on complex networks
  6. An improved algorithm for image crack detection based on percolation model
  7. Uniqueness of the infinite cluster and related results in percolation
  8. Random walks on infinite percolation clusters in models with long-range correlations
  9. The Russo-Seymour-Welsh Theorem and the Equality of Critical Densities and the “Dual” Critical Densities for Continuum Percolation on
  10. Research on the nonlinear spherical percolation model with quadratic pressure gradient and its percolation characteristics


  1. Percolation and local isoperimetric inequalities
  2. Some highlights of percolation
  3. Site percolation threshold for honeycomb and square lattices
  4. Universality at the three-dimensional percolation threshold
  5. Monte Carlo study of invasion percolation clusters in two and three dimensions
  6. Scaling at the percolation threshold above six dimensions
  7. Series expansions in a continuum percolation problem
  8. The stochastic geometry of invasion percolation
  9. Directed compact percolation: cluster size and hyperscaling
  10. Monte Carlo experiments on percolation: the influence of boundary conditions


  1. Numerical studies of critical percolation in three dimensions
  2. Discontinuity of the percolation density in one dimensional 1/| x− y| 2 percolation models
  3. Inhomogeneous bond percolation on square, triangular and hexagonal lattices
  4. A polychromatic correlated-site percolation problem with possible relevance to the unusual behaviour of supercooled H2O and D2O
  5. Coalescence of geodesics in exactly solvable models of last passage percolation
  6. Determination of the bond percolation threshold for the Kagomé lattice
  7. AB Percolation: a brief survey
  8. Power-law bounds for critical long-range percolation below the upper-critical dimension
  9. Corner percolation on ℤ2 and the square root of 17
  10. Quenched invariance principle for simple random walk on percolation clusters


  1. Scaling corrections: site percolation and Ising model in three dimensions
  2. Bond percolation critical probability bounds for three Archimedean lattices
  3. On the oddness of percolation
  4. Cluster detection in networks using percolation
  5. Upper bounds on the percolation correlation length
  6. First Passage Percolation for Random Colorings of
  7. Finite models for percolation
  8. On the Truncated Long-Range Percolation on Z 2
  9. Comparison of bootstrap percolation models
  10. On two-dimensional directed percolation


  1. Bootstrap Percolation, the Schröder Numbers, and the N-Kings Problem
  2. Conformal invariance for polymers and percolation
  3. Percolation theory: a model for rock fracture?
  4. A note on inhomogeneous percolation
  5. Critical density in percolation processes
  6. Diffusion and drift on percolation networks in an external field
  7. Mathematical modelling of the liquid trickling flow through a packed bed using the percolation theory
  8. Bond percolation critical probability bounds derived by edge contraction
  9. Percolation on branching simplicial and cell complexes and its relation to interdependent percolation
  10. N-cluster correlations in four-and five-dimensional percolation


  1. Percolation on interacting networks
  2. A lower bound for the chemical distance in sparse long-range percolation models
  3. Rock type connectivity estimation using percolation theory
  4. Scale-free percolation
  5. Hull percolation
  6. Long-range percolation on the hierarchical lattice
  7. Series study of random percolation in three dimensions
  8. Finite size scaling in three-dimensional bootstrap percolation
  9. A new interpretation of percolation conductivity results with large critical regimes
  10. Threshold and scaling in percolation with restricted valence


  1. Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses
  2. Sharp metastability threshold for two-dimensional bootstrap percolation
  3. Accuracy of universal formulas for percolation thresholds based on dimension and coordination number
  4. Percolation methods for SEIR epidemics on graphs
  5. Exponential decay for subcritical contact and percolation processes
  6. Electrical conductivity and percolation threshold of hybrid carbon/polymer composites
  7. Oriented site percolation, phase transitions and probability bounds
  8. On the critical behavior of the general epidemic process and dynamical percolation
  9. Long-range percolation mixing time
  10. Study on Percolation Law in Low Permeability Reservoir of Deformable Media


  1. Percolation approach to simulation of a sustainable network economy structure
  2. Anomalous critical and supercritical phenomena in explosive percolation
  3. Optimal corrector estimates on percolation cluster
  4. The percolation probability for the site problem on the triangular lattice
  5. Nonuniversality and continuity of the critical covered volume fraction in continuum percolation
  6. Percolation of random nodal lines
  7. Existence of phase transition for percolation using the Gaussian Free Field
  8. On the four-arm exponent for 2D percolation at criticality
  9. Inequalities for the time constant in first-passage percolation
  10. Model for Optimization of the UV‐A/Riboflavin Strengthening (cross‐linking) of the Cornea: Percolation Threshold


  1. Cite


  1. Quenched invariance principles for random walks on percolation clusters
  2. Percolation processes in two dimensions. II. Critical concentrations and the mean size index
  3. Percolation in high dimensions
  4. Percolation thresholds of simple fluids
  5. Homological percolation: The formation of giant k-cycles
  6. Heavy Bernoulli-percolation clusters are indistinguishable
  7. Percolation with multiple giant clusters
  8. Exact critical percolation probabilities for site and bond problems in two dimensions
  9. Percolation and the hard-core lattice gas model
  10. Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters


  1. Modeling of percolation process in hemicellulose hydrolysis
  2. Planar percolation with a glimpse of Schramm–Loewner evolution
  3. Application of percolation theory to microtomography of rocks
  4. Nonlinear percolation feature in low permeability reservoir a
  5. On decoupling inequalities and percolation of excursion sets of the Gaussian free field
  6. The critical two-point function for long-range percolation on the hierarchical lattice
  7. Percolation and coarse conformal uniformization
  8. Percolation without FKG
  9. Continuum percolation with discs having a distribution of radii
  10. Evaluation of the rheological and electrical percolation of high‐density polyethylene/carbon black composites using mathematical models


  1. On backbends on percolation backbones
  2. Probability densities for the displacement of random walks on percolation clusters
  3. Thermodynamic inequalities for percolation
  4. Universal behavior of connectivity properties in fractal percolation models
  5. A simplified proof of the relation between scaling exponents in first-passage percolation
  6. Uniqueness of the infinite entangled component in three-dimensional bond percolation
  7. Percolation in an ultrametric space
  8. Low-density series expansions for directed percolation: I. A new efficient algorithm with applications to the square lattice
  9. Exceptional planes of percolation
  10. Mathematical models of the temperature and water-heat transfer in the percolation zone of a glacier


  1. Percolation and minimal spanning forests in infinite graphs
  2. The failure distribution in percolation models of breakdown
  3. Upper and lower bounds for the Kagomé lattice bond percolation critical probability
  4. On the continuity of the critical value for long range percolation in the exponential case
  5. Inhomogeneous percolation problems and incipient infinite clusters
  6. Percolation theory in reservoir engineering
  7. TE Harris’ contributions to interacting particle systems and percolation
  8. Sharp metastability threshold for an anisotropic bootstrap percolation model
  9. From HIV infection to AIDS: a dynamically induced percolation transition?
  10. Scaling of percolation on infinite planar maps, I


  1. First passage percolation on random graphs with finite mean degrees
  2. Novel dimension-independent behaviour for diffusive annihilation on percolation fractals
  3. Influence maximization in complex networks through optimal percolation
  4. Biased percolation: forest fires with wind
  5. A note on percolation on : isoperimetric profile via exponential cluster repulsion
  6. Time correlation exponents in last passage percolation
  7. Lattice-oriented percolation system applied to volatility behavior of stock market
  8. Clustering in a continuum percolation model
  9. The fractal volume of the two-dimensional invasion percolation cluster
  10. Absence of infinite cluster for critical Bernoulli percolation on slabs


  1. Slow convergence in bootstrap percolation
  2. Percolation theory for the distribution and abundance of species
  3. Water penetration through fractured rocks: test of a tridimensional percolation description
  4. Scaling of the active zone in the Eden process on percolation networks and the ballistic deposition model
  5. RSW and box-crossing property for planar percolation
  6. On long range percolation with heavy tails
  7. Local cluster aggregation models of explosive percolation
  8. The anisotropic correlation in percolation theory
  9. Percolation on feature-enriched interconnected systems
  10. Documentation of a deep percolation model for estimating ground-water recharge


  1. Directed percolation with a wall or edge
  2. Percolation on dual lattices with k‐fold symmetry
  3. General first-passage percolation
  4. A note about the truncation question in percolation of words
  5. The combined effect of connectivity and dependency links on percolation of networks
  6. Mathematical model of fluid-solid coupling percolation with coal powder in coal reservoir
  7. Self-avoiding walks on percolation clusters
  8. Percolation theory in a gas
  9. Field-induced drift and trapping in percolation networks
  10. Two-dimensional critical percolation: the full scaling limit


  1. Bootstrap percolation in living neural networks
  2. Bargmann-Fock percolation is noise sensitive
  3. First passage percolation and competition models
  4. Anisotropic bond percolation
  5. The diameter of long‐range percolation clusters on finite cycles
  6. Infinite AB percolation clusters exist
  7. On the critical percolation probabilities
  8. Boundary rules and breaking of self-organized criticality in 2D frozen percolation
  9. A shape theorem for Riemannian first-passage percolation
  10. Monte Carlo study of biased diffusion at the percolation threshold


  1. Exponential decay of connection probabilities for subcritical Voronoi percolation in R d
  2. Hydrodynamic dispersion near the percolation threshold: Scaling and probability densities
  3. Multiplicity of infinite clusters in percolation above six dimensions
  4. Percolation in∞+ 1 dimensions at the uniqueness threshold
  5. Introduction to percolation theory
  6. Isoperimetry in Two‐Dimensional Percolation
  7. Quenched invariance principle for simple random walk on clusters in correlated percolation models
  8. Lectures on two-dimensional critical percolation
  9. Directed percolation near a wall
  10. Another critical exponent inequality for percolation: β⩾ 2/δ


  1. A lower bound for the critical probability in a certain percolation process
  2. Percolation networks and fluid transport in the crust
  3. New approach to percolation: lattice system results
  4. Spreading and backbone dimensions of 2D percolation
  5. Last-passage percolation with general weight distribution
  6. Supercritical percolation on nonamenable graphs: Isoperimetry, analyticity, and exponential decay of the cluster size distribution
  7. Interlacement percolation on transient weighted graphs
  8. The incipient infinite cluster for high-dimensional unoriented percolation
  9. Percolation on dense graph sequences
  10. On three-point connectivity in two-dimensional percolation


  1. Markov random fields and percolation on general graphs
  2. Percolation of sites not removed by a random walker in dimensions
  3. The percolation probability for the site problem on the face-centred cubic lattice
  4. Quenched Voronoi percolation
  5. Cluster shapes in lattice gases and percolation
  6. Critical exponents for a percolation model on transient graphs
  7. Generalized percolation processes using pretopology theory
  8. The coincidence of critical points in Poisson percolation models
  9. Critical percolation of free product of groups
  10. Critical percolation probabilities


  1. The scaling limit geometry of near-critical 2D percolation
  2. Surface fractal dimension of two-dimensional percolation
  3. Directed percolation: a Monte Carlo approach
  4. Critical probabilities for cluster size and percolation problems
  5. Continuum percolation with holes
  6. Anchored expansion, percolation and speed
  7. Visible parts of fractal percolation
  8. Statistical analysis and forecasting of return interval for SSE and model by lattice percolation system and neural network
  9. Bootstrap percolation: visualizations and applications
  10. Infinite AB percolation clusters exist on the triangular lattice


  1. Percolation of annotation errors through hierarchically structured protein sequence databases
  2. A percolation dynamic approach to the sol-gel transition
  3. The self-avoiding-walk and percolation critical points in high dimensions
  4. First Passage Percolation on Z 2 : A Simulation Study
  5. Percolation on a continuum and the localization-delocalization transition in amorphous semiconductors
  6. Alignment percolation
  7. Dynamical percolation: early results and open problems
  8. Universality of the excess number of clusters and the crossing probability function in three-dimensional percolation
  9. The percolation transition in the zero-temperature Domany model
  10. Multicentric genesis of material structure: Development of the percolation model and some applications


  1. Percolation of annotation errors through hierarchically structured protein sequence databases
  2. A percolation dynamic approach to the sol-gel transition
  3. The self-avoiding-walk and percolation critical points in high dimensions
  4. First Passage Percolation on Z 2 : A Simulation Study
  5. Percolation on a continuum and the localization-delocalization transition in amorphous semiconductors
  6. Alignment percolation
  7. Dynamical percolation: early results and open problems
  8. Universality of the excess number of clusters and the crossing probability function in three-dimensional percolation
  9. The percolation transition in the zero-temperature Domany model
  10. Multicentric genesis of material structure: Development of the percolation model and some applications


  1. A chemical percolation model for devolatilization: summary
  2. Limiting distribution of last passage percolation models
  3. Bootstrap percolation with inhibition
  4. Cell invasion in collagen scaffold architectures characterized by percolation theory
  5. Nonexistence of bigeodesics in integrable models of last passage percolation
  6. Geometrical percolation threshold of congruent cuboidlike particles in overlapping particle systems
  7. U-bootstrap percolation: critical probability, exponential decay and applications
  8. Percolation, first-passage percolation and covering times for Richardson’s model on the n-cube
  9. Noise sensitivity of percolation via differential inequalities
  10. The application of percolation theory to the compaction of pharmaceutical powders


  1. A note on percolation theory
  2. Monte Carlo estimates of percolation probabilities for various lattices
  3. Percolation hamiltonians
  4. Perimeter polynomials for bond percolation processes
  5. Percolation crossing formulae and conformal field theory
  6. Bootstrap Percolation.
  7. Percolation on transitive graphs as a coalescent process: relentless merging followed by simultaneous uniqueness
  8. Conformal invariance and percolation
  9. Large deviation bounds for the volume of the largest cluster in 2D critical percolation
  10. Percolation of interdependent network of networks


  1. Percolation thresholds on finitely ramified fractals
  2. A particular bit of universality: scaling limits of some dependent percolation models
  3. Conductivity measurement on percolation fractal
  4. Quantum site percolation on amenable graphs
  5. Percolation-intercropping strategies to prevent dissemination of phytopathogens on plantations
  6. Infinite clusters and critical values in two-dimensional circle percolation
  7. Modeling cascading failures in smart power grid using interdependent complex networks and percolation theory
  8. Some critical exponent inequalities for percolation
  9. Bond percolation on honeycomb and triangular lattices
  10. Percolation on Penrose tilings


  1. Percolation of the minority spins in high-dimensional Ising models
  2. Universal substructures of percolation clusters: the skeleton
  3. Cluster size and shape in random and correlated percolation
  4. Partial dimensional sequences and percolation
  5. Two-dimensional volume-frozen percolation: exceptional scales
  6. Two types of discontinuous percolation transitions in cluster merging processes
  7. Hamiltonian formulation of site percolation in a lattice gas
  8. Percolation on nonunimodular transitive graphs
  9. Application of percolation theory to noncatalytic gas‐solid reactions
  10. Microbial transport through heterogeneous porous media: random walk, fractal, and percolation approaches


  1. A sharp transition for the two-dimensional Ising percolation
  2. Indistinguishability of percolation clusters
  3. Self-dual planar hypergraphs and exact bond percolation thresholds
  4. Site percolation thresholds on triangular lattice with complex neighborhoods
  5. Mechanics of tablet formation: a comparative evaluation of percolation theory with classical concepts
  6. Percolation on hyperbolic graphs
  7. Limiting shape for directed percolation models
  8. Bootstrap percolation, and other automata
  9. Electrical properties of percolation clusters: exact results on a deterministic fractal
  10. Dilute bond Ising model and percolation


  1. Concept of the Long‐Range Order in Percolation Problems
  2. Conformal field theory properties of two-dimensional percolation
  3. On AB percolation on bipartite graphs
  4. Geodesics and spanning trees for Euclidean first-passage percolation
  5. Interpretation of percolation in terms of infinity computations
  6. Reply to the comment on ‘Monte Carlo simulation study of the two-stage percolation transition in enhanced binary trees’
  7. Sharp thresholds in bootstrap percolation
  8. Hull percolation and standard percolation
  9. Effect of interphase percolation on mechanical behavior of nanoparticle-reinforced polymer nanocomposite with filler agglomeration: A multiscale approach
  10. Topological Hausdorff dimension and geodesic metric of critical percolation cluster in two dimensions


  1. Counterexamples in AB percolation
  2. Subcritical regimes in the Poisson Boolean model of continuum percolation
  3. Does Eulerian percolation on percolate ?
  4. On the derivation of mean-field percolation critical exponents from the triangle condition
  5. Chemical subdiffusivity of critical 2D percolation
  6. Applications of percolation theory
  7. Random walk on the infinite cluster of the percolation model
  8. Percolation exponent δp for lattice dimensionality d⩾ 3
  9. A new lower bound for the critical probability of site percolation on the square lattice
  10. Monte Carlo tests of universality in a correlated-site percolation problem


  1. … between the ‘percolation’and ‘colouring’problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ …
  2. First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory
  3. Pair connectedness and shortest-path scaling in critical percolation
  4. Exciton percolation in molecular alloys and aggregates
  5. Recent advances in percolation theory and its applications
  6. Cylinders’ percolation in three dimensions
  7. First passage percolation: the stationary case
  8. Some limit theorems for percolation processes with necessary and sufficient conditions
  9. Jigsaw percolation: What social networks can collaboratively solve a puzzle?
  10. A generalization of McDiarmid’s theorem for mixed Bernoulli percolation


  1. Percolation on a product of two trees
  2. Estimates of the site percolation probability exponents for some directed lattices
  3. Fluctuations in the number of percolation clusters
  4. Randomized algorithms for statistical image analysis and site percolation on square lattices
  5. Continuum percolation and stochastic epidemic models on Poisson and Ginibre point processes
  6. Application of a new mathematical method for the estimation of the mean surface area to calculate the percolation threshold of lobenzarit dissodium salt in controlled …
  7. Limit of the Wulff Crystal when approaching criticality for site percolation on the triangular lattic
  8. The diameter of a long-range percolation graph
  9. Estimation of the effective permeability of heterogeneous porous media by using percolation concepts
  10. Last passage percolation in macroscopically inhomogeneous media


  1. Crossover from percolation to random animals and compact clusters
  2. Rigidity percolation and boundary conditions
  3. From discrete to continuous percolation in dimensions 3 to 7
  4. Percolation in a gradient: conductivity properties
  5. Percolation in complex networks
  6. On the critical parameter of interlacement percolation in high dimension
  7. Derivation of an explicit form of the percolation‐based effective‐medium approximation for thermal conductivity of partially saturated soils
  8. Exact critical exponent for the shortest-path scaling function in percolation
  9. Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
  10. Percolation, statistical topography, and transport in random media


  1. Effects of hysteresis on redistribution of soil moisture and deep percolation at continuous and pulse drip irrigation
  2. Ornstein-Zernike theory for the Bernoulli bond percolation on
  3. The number of infinite clusters in dynamical percolation
  4. On the connectivity properties of the complementary set in fractal percolation models
  5. Percolation in a system of randomly distributed sticks
  6. Hyperscaling inequalities for percolation
  7. A percolation model of natural selection
  8. Stationary half-space last passage percolation
  9. Entropy-controlled last-passage percolation
  10. Two-dimensional percolation: logarithmic corrections to the critical behaviour from series expansions


  1. Entanglement in percolation
  2. Universal finite-size scaling for percolation theory in high dimensions
  3. Percolation of the loss of tension in an infinite triangular lattice
  4. Topological percolation on hyperbolic simplicial complexes
  5. Distribution-induced non-universality of the percolation conductivity exponents
  6. Percolation Theory
  7. Quantitative noise sensitivity and exceptional times for percolation
  8. Increased fractured rock permeability after percolation despite limited crack growth
  9. Site percolation and random walks on d-dimensional Kagomé lattices
  10. Tree-indexed random walks on groups and first passage percolation


  1. Invasion percolation on a random lattice
  2. Fast estimation of performance parameters in fractured reservoirs using percolation theory
  3. Locality of percolation for abelian Cayley graphs
  4. Percolation i
  5. Continuum percolation
  6. On the range of bond percolation thresholds for fully triangulated graphs
  7. Percolation and conduction in restricted geometries
  8. Construction of the incipient infinite cluster for spread-out oriented percolation above 4+ 1 dimensions
  9. Gas and solute diffusion in partially saturated porous media: Percolation theory and effective medium approximation compared with lattice Boltzmann simulations
  10. Remarks on bootstrap percolation in metric networks


  1. The incipient infinite cluster in two-dimensional percolation
  2. Exit time tails from pairwise decorrelation in hidden Markov chains, with applications to dynamical percolation
  3. Percolation in the canonical ensemble
  4. The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
  5. Lower bounds on the connectivity function in all directions for Bernoulli percolation in two and three dimensions
  6. Are the tails of percolation thresholds Gaussians?
  7. Two-dimensional mathematical modeling of flame spread behavior of biodiesel droplet through the percolation approach
  8. Study of flow and transport in fracture network using percolation theory
  9. A model of microemulsion formation and percolation: experimental validation
  10. An algorithmic method for studying percolation clusters


  1. Cluster percolation in O (n) spin models
  2. Void percolation and conduction of overlapping ellipsoids
  3. Backbends in directed percolation
  4. Surface and edge exponents for the spreading of 3D percolation
  5. Noise sensitivity and Voronoi percolation
  6. epsilon expansion for correlated percolation: applications to gels
  7. Critical percolation clusters in seven dimensions and on a complete graph
  8. The incipient giant component in bond percolation on general finite weighted graphs
  9. Clustering and uniqueness in mathematical models of percolation phenomena
  10. Percolation in a distorted square lattice


  1. Enumerating 2D percolation series by the finite-lattice method: Theory
  2. Bootstrap percolation on a random graph coupled with a lattice
  3. Inhomogeneous long-range percolation for real-life network modeling
  4. An improved upper bound for the hexagonal lattice site percolation critical probability
  5. An infinite number of effectively infinite clusters in critical percolation
  6. A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model
  7. Role of Gas Viscosity for Shale Gas Percolation
  8. Shortest paths in percolation
  9. Bond percolation and the Yang-Lee edge singularity problems in three dimensions
  10. Thermal conductivity in porous media: Percolation‐based effective‐medium approximation


  1. Ergodic properties of a dynamical system arising from percolation theory
  2. Introduction to Bernoulli percolation
  3. Percolation beyond ℤd: the contributions of Oded Schramm
  4. The random geometry of equilibrium phases
  5. Line percolation
  6. Series expansion of the percolation probability for the directed square lattice
  7. Application of percolation theory to microtomography of structured media: Percolation threshold, critical exponents, and upscaling
  8. Percolation theory
  9. Universal formulas for percolation thresholds
  10. On a multiscale continuous percolation model with unbounded defects


  1. Correlated percolation and the correlated resistor network
  2. On crossing event formulas in critical two-dimensional percolation
  3. Vacant set of random interlacements and percolation
  4. Asymmetry in the percolation thresholds of fully penetrable disks with two different radii
  5. Site-bond percolation: a low-density series study of the uncorrelated limit
  6. Flow, transport, and reaction in porous media: Percolation scaling, critical‐path analysis, and effective medium approximation
  7. Existence and uniqueness of infinite components in generic rigidity percolation
  8. Percolation in random fields. II
  9. Nonlinear coupling mathematical models on percolation‐patterned underground coal gasification
  10. Percolation in two-dimensional quasicrystals by Monte Carlo simulations


  1. Percolation processes: Lower bounds for the critical probability
  2. The Hamiltonian spectrum of directed percolation
  3. Bootstrap percolation on the hypercube
  4. Breakdown of dynamic scaling at the percolation threshold
  5. Some cluster size and percolation problems
  6. Managing social networks: Applying the percolation theory methodology to understand individuals’ attitudes and moods
  7. The percolation of fibres with random orientations: a Monte Carlo study
  8. Poisson percolation on the square lattice
  9. Surface order large deviations for 2D FK-percolation and Potts models
  10. A new approach to determine rheological percolation of carbon nanotubes in microstructured polymer matrices


  1. Quenched invariance principles for walks on clusters of percolation or among random conductances
  2. Percolation and the complexity of games
  3. Relationship between the geometric parameters of rock fractures, the size of percolation clusters and REV
  4. Gaussian limit for critical oriented percolation in high dimensions
  5. Restoring habitat corridors in fragmented landscapes using optimization and percolation models
  6. Structure of simple liquids as a percolation problem on the Voronoi network
  7. Percolation and epidemics in random clustered networks
  8. Optimal exponent for coalescence of finite geodesics in exponential last passage percolation
  9. Non-universality in the dynamics at the percolation threshold
  10. Coal-bed methane percolation equation and its numerical simulation


  1. Connectedness percolation in polydisperse rod systems: A modified Bethe lattice approach
  2. The number of incipient spanning clusters in two-dimensional percolation
  3. Hydrogen bond correlated percolation in a supercooled water monolayer as a hallmark of the critical region
  4. Renormalisation-group approach for critical percolation behaviour in three dimensions
  5. Bak–Tang–Wiesenfeld model on the square site-percolation lattice
  6. Percolation perturbations in potential theory and random walks
  7. A GUE central limit theorem and universality of directed first andlast passage site percolation
  8. On the cluster size distribution for critical percolation
  9. Alignment Percolation
  10. Rigid–floppy percolation threshold


  1. Typical cluster size for two-dimensional percolation processes
  2. On the spread-out limit for bond and continuum percolation
  3. Revision of upper estimate of percolation threshold on square lattice
  4. Confluent singularities in directed bond percolation
  5. From one-way streets to percolation on random mixed graphs
  6. Scaling relation for the critical exponents of the backbone of percolation clusters
  7. Limit theorems for critical first-passage percolation on the triangular lattice
  8. Mathematical modeling of drying processes using methods of the nonequilibrium thermodynamics and percolation theory
  9. Computation of the critical exponents of percolation
  10. Percolation on a randomly expanded lattice: a model of polymer gels


  1. Dynamical percolation through the Voronoitessellations
  2. Pore space relevant for gas permeability in Opalinus clay: Statistical analysis of homogeneity, percolation, and representative volume element
  3. Percolation and conduction
  4. A Limit Theorem for in First-Passage Percolation
  5. Forest fire modeling using cellular automata and percolation threshold analysis
  6. The evolution and analysis of electrical percolation threshold in nanometer scale thin films deposited by electroless plating
  7. Comparison of semi-oriented bootstrap percolation models with modified bootstrap percolation
  8. Early epidemic spread, percolation and Covid-19
  9. The number of unbounded components in the Poisson Boolean model of continuum percolation in hyperbolic space
  10. Elastically driven anisotropic percolation in electronic phase-separated manganites


  1. Continuum percolation for Gaussian zeroes and Ginibre eigenvalues
  2. Monte-Carlo renormalisation group for continuum percolation with excluded-volume interactions
  3. AC response near percolation threshold: transfer matrix calculation in 2D
  4. Critical first-passage percolation starting on the boundary
  5. Directed bond percolation on the honeycomb lattice
  6. Random walks, capacity and percolation on trees
  7. Speculation on a scaling law for superconductor-resistor mixture exponent s in a percolation system
  8. Percolation thresholds in 2-dimensional prefractal models of porous media
  9. Recent progress in rigorous percolation theory
  10. Infinite clusters in percolation models


  1. Percolation processes in three and more dimensions
  2. The large-N limit of the threshold values in Mandelbrot’s fractal percolation process
  3. Research on laws of 2D percolation of fully random distribution fracture media
  4. General percolation and random graphs
  5. Dynamic contrast-enhanced MRI and fractal characteristics of percolation clusters in two-dimensional tumor blood perfusion
  6. On Polya random walks, lattice Green functions, and the bond percolation threshold
  7. Critical behaviour of AB percolation in two dimensions
  8. Directed percolation: series expansion for some three-dimensional lattices
  9. Percolation thresholds and Fisher exponents in hypercubic lattices
  10. Scaling theory of dead-end distribution in percolation clusters


  1. Percolation processes in three and more dimensions
  2. The large-N limit of the threshold values in Mandelbrot’s fractal percolation process
  3. Research on laws of 2D percolation of fully random distribution fracture media
  4. General percolation and random graphs
  5. Dynamic contrast-enhanced MRI and fractal characteristics of percolation clusters in two-dimensional tumor blood perfusion
  6. On Polya random walks, lattice Green functions, and the bond percolation threshold
  7. Critical behaviour of AB percolation in two dimensions
  8. Directed percolation: series expansion for some three-dimensional lattices
  9. Percolation thresholds and Fisher exponents in hypercubic lattices
  10. Scaling theory of dead-end distribution in percolation clusters


  1. Invasion percolation in an external field: dielectric breakdown in random media
  2. Level Set Percolation in the Two-Dimensional Gaussian Free Field
  3. Desirable properties of universal formulas for percolation thresholds
  4. Scaling theory of percolation clusters
  5. Series expansion of the percolation threshold on hypercubic lattices
  6. Continuum percolation for Cox point processes
  7. Two time distribution in Brownian directed percolation
  8. Extremal optimization of graph partitioning at the percolation threshold
  9. On the percolation threshold for a d-dimensional simple hypercubic lattice
  10. The probability distribution of the percolation threshold in a large system


  1. Spectral asymptotics of percolation Hamiltonians on amenable Cayley graphs
  2. Minireview: New results for old percolation
  3. Nonlinear analysis on cross-correlation of financial time series by continuum percolation system
  4. An algorithm for calculating critical probabilities and percolation functions in percolation models defined by rotations
  5. Percolation in an edge
  6. Biased diffusion in percolation systems: indication of multifractal behaviour
  7. On some percolation results of JM Hammersley
  8. On the cluster size distribution for percolation on some general graphs
  9. Bond percolation on a class of correlated and clustered random graphs
  10. Mixed percolation on the square lattice


  1. The fractal dimension and other percolation exponents in four and five dimensions
  2. Factorization of correlations in two-dimensional percolation on the plane and torus
  3. Fractal dimension on carbon nanotube-polymer composite materials using percolation theory
  4. Precise determination of the void percolation threshold for two distributions of overlapping spheres
  5. Is critical 2D percolation universal?
  6. Large‐deviations/thermodynamic approach to percolation on the complete graph
  7. Determination of site percolation transitions for 2D mosaics by means of the minimal spanning tree approach
  8. Percolation and contact processes with low-dimensional inhomogeneity
  9. Simple cubic random-site percolation thresholds for neighborhoods containing fourth-nearest neighbors
  10. Monte Carlo simulation study of the two-stage percolation transition in enhanced binary trees


  1. A generalized configuration model with degree correlations and its percolation analysis
  2. Percolation in multi-layered structures
  3. General and exact approach to percolation on random graphs
  4. Exact limiting shape for a simplified model of first-passage percolation on the plane
  5. On the anisotropic walk on the supercritical percolation cluster
  6. Results for a critical threshold, the correction-to-scaling exponent and susceptibility amplitude ratio for 2d percolation
  7. Criteria for evaluation of universal formulas for percolation thresholds
  8. The phase transition for planar Gaussian percolation models without FKG
  9. Bond percolation thresholds on Archimedean lattices from critical polynomial roots
  10. Directed percolation: pseudo-correlation length


  1. Percolation on triangulations: a bijective path to Liouville quantum gravity
  2. Social percolation models
  3. Harmonic measure exponents for two-dimensional percolation
  4. Universal scaling behaviour of directed percolation and the pair contact process in an external field
  5. The speed of biased random walk on percolation clusters
  6. Two-dimensional polymer networks near percolation
  7. Parabolic Harnack inequality and local limit theorem for percolation clusters
  8. Critical percolation probabilities by series methods
  9. Semi-directed percolation in two dimensions
  10. Conformally invariant scaling limits in planar critical percolation


  1. Sociophysics Approach to Epidemics
  2. Convergence of fermionic observables in the massive planar FK-Ising model
  3. Efficient synchronization on under symmetry-preserving side information
  4. Fabrication and Physical Characteristics of Polymer Composite Materials Containing Carbon Nanotubes
  5. Sorting networks and staircase Young tableaux
  6. A Mathematical Model for Prediction of Long-Term Degradation Effects in Solid Oxide Fuel Cells
  7. Unsteady‐state contact angle hysteresis during droplet oscillation in capillary pores: Theoretical model and VOF simulation
  8. Trigonometric multiplicative chaos and Application to random distributions
  9. Spread of Infection over PA random graphs with edge insertion
  10. Master batch approach for developing PVDF/EVA/CNT nanocomposites with co‐continuous morphology and improved electrical conductivity


  1. Evaluating Baseflow Simulation in the National Water Model: A Case Study in the Northern High Plains Region, USA
  2. Mesoscopic Seepage Simulation and Analysis of Unclassified Tailings Pores Based on 3D Reconstruction Technology
  3. Magnetization profiles at the upper critical dimension as solutions of the integer Yamabe problem
  4. Structural electroactive cermets: dielectric and structural properties of conductive metallic reinforced piezoelectric ceramics
  5. Accurate self‐damage detection by electrically conductive epoxy/graphene nanocomposite film
  6. Irreducible multi-partite correlations as an order parameter for k-local nontrivial states
  7. Breaking Through Bottlenecks for Thermally Conductive Polymer Composites: A Perspective for Intrinsic Thermal Conductivity, Interfacial Thermal Resistance …
  8. … analysis between the experimental and numeric methods on viscosity of zirconium oxide nanofluid: Developing optimal artificial neural network and new mathematical …
  9. On the Manhattan pinball problem
  10. Colorful Hamilton cycles in random graphs


  1. A new dynamic capillary-number-recovery evaluation method for tight gas reservoirs
  2. Role of pore-size distribution on effective rheology of two-phase flow in porous media
  3. On the cost of the bubble set for random interlacements
  4. Effect of adding physical links on the robustness of the Internet modeled as a physical-logical interdependent network using simple strategies
  5. Cascading Failure Dynamics against Intentional Attack for Interdependent Industrial Internet of Things
  6. Effect of magnetic-field-induced restructuring on the elastic properties of magnetoactive elastomers
  7. Simulation of pandemics in real cities: enhanced and accurate digital laboratories
  8. Mathematical Modelling of Surface-Groundwater Interactions under Varying Hydrological Conditions: Review of Past Works
  9. Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections
  10. Weakly self-avoiding walk on a high-dimensional torus


  1. Mathematical properties of the foam flow in porous media
  2. Noncommutative Probability and Multiplicative Cascades
  3. A preconditioner based on sine transform for two-dimensional Riesz space factional diffusion equations in convex domains
  4. Spreading processes in post-epidemic environments
  6. Finite Difference Modelings of Groundwater Flow for Constructing Artificial Recharge Structures
  7. Design of sandwich structure conductive polypropylene/styrene‐butadiene‐styrene triblock copolymer/carbon black composites with inherent morphological tunability
  8. Branching random walk with non-local competition
  9. The impact of top scientists on the community development of basic research directed by government funding: evidence from program 973 in China
  10. Effect of graphene nanoplatelets and multiwalled carbon nanotubes on the viscous and viscoelastic properties and printability of polylactide nanocomposites


  1. Self-diffusion coefficient in the Kob-Andersen model
  2. Evaluation of the Most Harmful Malicious Attacks in Power Systems Based on a New Set of Centralities
  3. Stochastic homogenization on perforated domains I–Extension operators
  4. Spongelike Rigid Structures in Frictional Granular Packings
  5. Efficient network immunization under limited knowledge
  6. Non-universal current flow near the metal-insulator transition in an oxide interface
  7. An iterative method for elliptic problems with rapidly oscillating coefficients
  8. Assessing the origin and velocity of Ca2+ waves in three-dimensional tissue: Insights from a mathematical model and confocal imaging in mouse pancreas tissue …
  9. Heat potential, generation, recovery and utilization from composting: A review
  10. Partition in Social Network


  1. GeomInt: geomechanical integrity of host and barrier rocks–experiments, models and analysis of discontinuities
  2. Reversible Poisson-Kirchhoff Systems
  3. Structuring an Ontology for Mathematical Modelling Wastewater Flow through Porous Media
  4. Hydrology: Problems, Challenges and Opportunities
  5. A miniaturized polymer-based bimorph actuator with self-sensing capability
  6. Predicting national-scale tile drainage discharge in Denmark using machine learning algorithms
  7. Refined universality for critical KCM: upper bounds
  8. New results for the random nearest neighbor tree
  9. Power Grid Cascading Failure Mitigation by Reinforcement Learning
  10. A brief introduction to flow and transport in fractal porous media


  1. Extreme positions of regularly varying branching random walk in random environment
  2. Integrated Water Harvesting and Aquifer Recharge Evaluation Methodology Based on Remote Sensing and Geographical Information System: Case Study in …
  3. Space-Time Finite Element Method for Transient and Unconfined Seepage Flow Analysis
  4. Metal-insulator transition in -type bulk crystals and films of strongly compensated
  5. Material properties and phase behavior of crosslinkable acrylonitrile‐butadiene copolymer/ethylene vinyl acetate/carbon black composites
  6. Bulk properties of the Airy line ensemble
  7. Machine learning predictions of COVID-19 second wave end-times in Indian states
  8. Sparse structures for multivariate extremes
  9. Design, development, and performance evaluation of an ohmic extractor to valorize fruit by‐products based on Taguchi method: Reduced energy consumption and …
  10. Role of the interface on electron transport in electro‐conductive polymer‐matrix composite: A review


  1. The role of interface on dynamic mechanical properties, dielectric performance, conductivity, and thermal stability of electrospun carbon nanofibers reinforced epoxy
  2. The force required to operate the plunger on a French press
  3. Reactive transport in porous media: a review of recent mathematical efforts in modeling geochemical reactions in petroleum subsurface reservoirs
    1. Machinery Trade (UN Comtrade, 2009)
  4. Self-organized multistability in the forest fire model
  5. Correlations of primary fields in the critical Ising model
  6. Electrically Insulating Flexible Films with Quasi‐1D van der Waals Fillers as Efficient Electromagnetic Shields in the GHz and Sub‐THz Frequency Bands
  7. Dry Tomb-Bioreactor Landfilling Approach for Enhanced Biodegradation and Biomethane Generation from Municipal Solid Waste Co-disposed with Sugar Mill …
  8. Hierarchical carrier transport simulator for defected nanoparticle solids
  9. Non-uniformly parabolic equations and applications to the random conductance model


  1. Rheology of Highly Filled Polymers
  2. Assessing the impacts of land use and land cover change on water resources in the Upper Bhima river basin, India
  3. On the crossing estimates of simple conformal loop ensembles
  4. Dynamics of Ga penetration in textured Al polycrystal revealed through multimodal three-dimensional analysis
  5. Dynamics of undeforming regions in the lead up to failure: jumping scales from lab to field
  6. Noise sensitivity for the top eigenvector of a sparse random matrix
  7. On the uniqueness of global multiple SLEs
  8. A high toughness elastomer based on natural Eucommia ulmoides gum
  9. Slow Cortical Waves via Cyclicity
  10. A phase transition between endogeny and nonendogeny


  1. Graphene/nanorubber reinforced electrically conductive epoxy composites with enhanced toughness
  2. Zirconia-strengthened yttria ceramics for plasma chamber applications
  3. Low-frequency dispersion in resistor-capacitor networks
  4. Local Limit Theorems for the Random Conductance Model and Applications to the Ginzburg–Landau ∇ ϕ Interface Model
  5. p-adic numbers encode complex networks
  6. Water balance model as a tool for building participation and joint water use promotion at the river basin level*
  7. Facile fabrication of highly conductive poly (styrene‐co‐methacrylic acid)/poly (aniline) microspheres based on surface carboxylation modification
  8. Constructing a Mathematical Model and Studying Numerically the Effect of Bio-Clogging on Soil Filtration Consolidation
  9. Effective epidemic containment strategy in hypergraphs
  10. Tuning the piezoresistive strain‐sensing behavior of poly (vinylidene fluoride)–CNT composites: The role of polymer–CNT interface and composite processing …


  1. Sensitivity Analysis of Discrete Fracture Network Connectivity Characteristics
  2. Semi-analytic finite element method applied to short-fiber-reinforced piezoelectric composites
  3. Optimized Factor Approximants and Critical Index
  4. Random Matrix Theory and Its Applications
  5. Non-equilibrium criticality and efficient exploration of glassy landscapes with memory dynamics
  6. Characterization of a shallow coastal aquifer in the framework of a subsurface storage and soil aquifer treatment project using electrical resistivity tomography (Port de …
  7. A Complete Bibliography of Publications in the Journal of Mathematical Physics: 2000–2004
  8. Normalized Sombor indices as complexity measures of random graphs
  9. Flexible Wearable Sensors Based in Carbon Nanotubes Reinforced Poly (Ethylene Glycol) Diglycidyl Ether (PEGDGE): Analysis of Strain Sensitivity and Proof of …
  10. Comparison between prediction models and monitored data on leachate generation from a sanitary landfill in the metropolitan region of rio de janeiro, Brazil


  1. Analysis of the impact of mask-wearing in viral spread: Implications for COVID-19
  2. Polymethyl methacrylate reinforced with nickel coated multi‐walled carbon nanotubes: Flame, electrical and mechanical properties
  3. Electrical transport phenomenon and variable range hopping conduction in reduced graphene oxide/polystyrene composites
  4. The effect of the viscosity-dependent boundary layer on tight oil flow behavior in CO2 Huff-Puff processes: A unified dimensional Pre-Darcy flow model
  5. Multifunctional composites obtained from the combination of a conductive polymer with different contents of primary battery waste powders
  6. Homogenization of Boundary Value Problems in Perforated Lipschitz Domains
  7. An ultrasound assisted extraction–solid‐phase extraction–ultra‐performance liquid chromatography combined strategy for atropine determination in Atropa …
  8. Enhanced electrical conductivity and structural, mechanical characterization of standalone poly (vinyl alcohol)‐graphite nanoplatelets composite films
  9. Multiple change point estimation of trends in Covid-19 infections and deaths in India as compared with WHO regions
  10. Potts model solver based on hybrid physical and digital architecture


  1. Study, suspend and optimization a spread of epidemic infections. The dynamic Monte Carlo approach
  2. Self-avoiding walk on the hypercube
  3. Control growth of NiFe2O4 phase in thermal annealed α-Fe2O3/NiFe2O4 nanocomposites for the beneficial magnetic application
  4. Pattern formation of vascular network in a mathematical model of angiogenesis
  5. Epidemic Spreading and Digital Contact Tracing: Effects of Heterogeneous Mixing and Quarantine Failures
  6. Reply to Pessoa, P.; Arderucio Costa, B., Comment on “Tsallis, C. Black Hole Entropy: A Closer Look. Entropy 2020, 22, 17”
  7. Predicting the performance of direct contact membrane distillation (DCMD): Mathematical determination of appropriate tortuosity based on porosity
  8. Application of physical modeling with the use of soft model materials for the analysis and optimization of metal extrusion processes
  9. Numerical Simulation of Low-Permeability Reservoirs with considering the Dynamic Boundary Layer Effect
  10. Local and global geometry of the 2D Ising interface in critical prewetting


  1. Emergence of extended states at zero in the spectrum of sparse random graphs
  2. KPZ equation correlations in time
  3. Particle Deposition in Drying Porous Media
  4. Design and implementation of an inverter and their application in ring oscillator circuits using organic-thin-film-transistor (OTFT) based on FTM-derived channel
  5. An Insight to the Interphase in Polymer Nanocomposites
  6. Fractional Stochastic Loewner Evolution and Scaling Curves
  7. Numerical Modeling for Groundwater Recharge
  8. In Situ and Intraoperative Detection of the Ureter Injury Using a Highly Sensitive Piezoresistive Sensor with a Tunable Porous Structure
  9. Development of Flood Monitoring Index for daily flood risk evaluation: case studies in Fiji
  10. A dual-scale fracture network model for computing hydro-mechanical properties of fractured rock


  1. Techniques and modeling of polyphenol extraction from food: a review
  2. A new modifications of the SIR/SEIR models with” intervention polynomial factor”. Methodological aspects
  3. An overview of the mathematical modelling of perovskite solar cells towards achieving highly efficient perovskite devices
  4. A Finite-temperature Phase Transition for the Ising Spin-glass in
  5. Generalized mean-field approximations for evolutionary games on lattices
  6. Mass scaling of the near-critical 2D Ising model using random currents
  7. Probabilistic Framework For Loss Distribution Of Smart Contract Risk
  8. Electrical resistance-based health monitoring of structural smart concrete
  9. Masks and face coverings for the lay public: A narrative update
  10. Schutz vor COVID-19: Wirksamkeit des Mund-Nasen-Schutzes


  1. Designs of conductive polymer composites with exceptional reproducibility of positive temperature coefficient effect: A review
  2. Quantitative Russo-Seymour-Welsh for random walk on random graphs and decorrelation of UST
  3. Influence of Filler Content on Thermo-Physical Properties of Hollow Glass Microsphere-Silicone Matrix Composite
  4. Emergent population activity in metric-free and metric networks of neurons with stochastic spontaneous spikes and dynamic synapses
  5. Natural rubber nanocomposites: effect of carbon black/multi-walled carbon nanotubes hybrid fillers on the mechanical properties and thermal conductivity
  6. Complex networks with tuneable spectral dimension as a universality playground
  7. Computational Methods for Structure-to-Function Analysis of Diet-Derived Catechins-Mediated Targeting of In Vitro Vasculogenic Mimicry
  8. Elaboration and characterization of biocomposite based on polylactic acid and Moroccan sisal fiber as reinforcement
  9. Computational phase transitions: benchmarking Ising machines and quantum optimisers


  1. Warning Propagation on random graphs
  2. Effect of different monomer precursors with identical functionality on the properties of the polymer network
  3. Visualization characterization of minerals touched by interconnected pores and fractures and its demineralization effect on coal permeability during CO2-ECBM …
  4. Robust networks of interfacial localized graphene in cocontinuous polymer blends
  5. A Multi-variate Mathematical Model for Simulating the Granule Size Distribution in Roller Compaction-Milling Process
  6. Decision Support System in Sprinkler Irrigation Based on a Fractional Moisture Transport Model
  7. Route lengths in invariant spatial tree networks
  8. Extraction and numerical simulation of gas–water flow in low permeability coal reservoirs based on a pore network model
  9. Evidence for quasicritical brain dynamics
  10. Tailoring plasmonic resonances in Cu-Ag metal islands films


  1. Social forecasting: A literature review of research promoted by the United States National Security System to Model Human Behavior
  2. Descriptor selection for predicting interfacial thermal resistance by machine learning methods
  3. Pore Space and Fluid Phase Characterization in Round and Angular Partially Saturated Sands Using Radiation-Based Tomography and Persistent Homology
  4. Bi-continuous porous structures from the selective dissolution of ionic solid solutions
  5. Spectral analysis on Barlow and Evans’ projective limit fractals.
  6. Reinforcement learning approach for robustness analysis of complex networks with incomplete information
  7. Evaluating the effects of different irrigation and nitrogen applications on soil water content and yield quality parameters of pepper using surface and subsurface drip …
  8. A novel model for oil recovery estimate in heterogeneous low-permeability and tight reservoirs with pseudo threshold pressure gradient
  9. Fixation for Two-Dimensional U -Ising and U -Voter Dynamics
  10. Transition to turbulence via flame patterns in viscoelastic Taylor–Couette flow


  1. Study on Fracture and Permeability Characteristics of Unloading Rock with High Water Pressure
  2. Evaluating strategies for spatial allocation of vaccines based on risk and centrality
  3. Quantifying efficient information exchange in real network flows
  4. Lightweight High-Performance Carbon-Polymer Nanocomposites for Electromagnetic Interference Shielding
  5. The critical Liouville quantum gravity metric induces the Euclidean topology
  6. A Novel Model for Predicting the Well Production in High-Sulfur-Content Gas Reservoirs
  7. Flooding depth and duration concomitantly influence the growth traits and yield of rice
  8. Understanding Degeneracy of Two-Point Correlation Functions via Debye Random Media
  9. The number of satisfying assignments of random 2‐SAT formulas
  10. Identification of jamming transition: a critical appraisal


  1. A Novel Mathematical Model Considering Real Gas PVT Behavior to Estimate Inflow Performance Relationship of Gas Well Production
  2. Triangulations of uniform subquadratic growth are quasi-trees
  3. Current relaxation in the Random Resistor cum Tunnelling Network Model through first-passage route: Regimes and time-scales
  4. Growth transitions and critical behavior in the non-equilibrium aggregation of short, patchy nanorods
  5. Law of iterated logarithms and fractal properties of the KPZ equation
  6. Superconductivity and nucleation from fractal anisotropy and product-like fractal measure
  7. A concise review on the elastomeric behavior of electroactive polymer materials
  8. Vicinal Vertex Allocation for Matrix Factorization in Networks
  9. Delocalization Transition of a Disordered Axion Insulator
  10. Effect of grain shape on quasi‐static fluid‐fluid displacement in porous media


  1. Estudo de redes complexas sob uma perspectiva combinatória
  2. Existence result for a Kirchhoff elliptic system involving p-Laplacian operator with variable parameters and additive right hand side via sub and super solution …
  3. Template and sol‐gel routed CoMn2O4 nanofibers for supercapacitor applications
  4. Discontinuous epidemic transition due to limited testing
  5. Dynamic electro‐mechanical analysis of highly conductive particle‐elastomer composites
  6. Social distancing mediated generalized model to predict epidemic spread of COVID-19
  7. Effective permittivity of co-evaporated metal-organic mixed films
  8. The discrete system of Fibonacci functions for the constructions of a global automated system for monitoring objects littering the environment using remote sensing
  9. GUE× GUE limit law at hard shocks in ASEP
  10. Food waste treatment through anaerobic co-digestion: Effects of mixing intensity on the thermohydraulic performance and methane production of a liquid recirculation


  1. Emergent spatial patterns of coexistence in species-rich plant communities
  2. Physical Simulation and Mathematical Model of the Porous Flow Characteristics of Gas-Bearing Tight Oil Reservoirs
  3. Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections


Prof.Fazal Rehman Shamil (Available for Professional Discussions)
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2. Video lectures on Youtube
3. Email is only for Advertisement/business enquiries.