• Thumbnail for Percolation theory
    applications of percolation theory to materials science and in many other disciplines are discussed here and in the articles Network theory and Percolation (cognitive...
    26 KB (3,133 words) - 05:14, 12 April 2025
  • Thumbnail for Percolation
    that modulates capacity for percolation. During the last decades, percolation theory, the mathematical study of percolation, has brought new understanding...
    8 KB (853 words) - 10:06, 29 May 2025
  • underlying points of discrete percolation form types of lattices whereas the underlying points of continuum percolation are often randomly positioned...
    14 KB (1,635 words) - 19:00, 10 June 2024
  • networks. Percolation is a model used to explain how neural activity is transmitted across the various connections within the brain. Percolation theory can...
    15 KB (1,492 words) - 22:08, 22 May 2025
  • Thumbnail for Percolation threshold
    The percolation threshold is a mathematical concept in percolation theory that describes the formation of long-range connectivity in random systems. Below...
    239 KB (15,635 words) - 18:07, 9 June 2025
  • percolation is a mathematical method used to describe the paths reachable in a random medium within a given amount of time. First passage percolation...
    6 KB (862 words) - 00:48, 30 January 2022
  • bootstrap Ising critical exponents Percolation critical exponents Network science Percolation theory Graph theory Hagen Kleinert and Verena Schulte-Frohlinde...
    19 KB (2,211 words) - 11:09, 15 November 2024
  • Master equation Partition function (mathematics) Quantum probability Percolation theory Schramm–Loewner evolution List of textbooks in thermodynamics and...
    43 KB (5,068 words) - 08:53, 3 June 2025
  • Thumbnail for Béla Bollobás
    mathematics, including functional analysis, combinatorics, graph theory, and percolation. He was strongly influenced by Paul Erdős from the age of 14. As...
    17 KB (1,674 words) - 02:54, 27 March 2025
  • Robustness of complex networks (category Network theory)
    {\displaystyle p_{c}} . In percolation theory this cluster is named the percolating cluster. This phenomenon is quantified in percolation theory by a number of quantities...
    13 KB (1,947 words) - 03:34, 12 May 2025
  • paper "Percolation and Cluster Distribution. I. Cluster Multiple Labeling Technique and Critical Concentration Algorithm". Percolation theory is the study...
    12 KB (1,625 words) - 04:02, 25 May 2025
  • directed percolation is illustrated to the right. In isotropic percolation a spreading agent (e.g. water) introduced at a particular site percolates along...
    10 KB (1,135 words) - 17:39, 4 April 2024
  • Thumbnail for Random graph
    grows very large. Percolation theory characterizes the connectedness of random graphs, especially infinitely large ones. Percolation is related to the...
    15 KB (2,328 words) - 11:46, 21 March 2025
  • an analog of mean-field theory (this dimension is 4d for Ising or for directed percolation, and 6d for undirected percolation). Critical exponents are...
    10 KB (873 words) - 00:22, 13 January 2024
  • Thumbnail for Erdős–Rényi model
    links are removed with heterogeneous weights as weighted percolation). As percolation theory has much of its roots in physics, much of the research done...
    19 KB (2,795 words) - 05:56, 9 April 2025
  • Thumbnail for Component (graph theory)
    connected components are described by percolation theory. A key question in this theory is the existence of a percolation threshold, a critical probability...
    30 KB (3,441 words) - 05:04, 5 June 2025
  • Thumbnail for Degeneracy (graph theory)
    has been studied under the name of bootstrap percolation. Graph theory Network science Percolation Theory Core–periphery structure Cereceda's conjecture...
    31 KB (3,769 words) - 02:53, 17 March 2025
  • In the context of the physical and mathematical theory of percolation, a percolation transition is characterized by a set of universal critical exponents...
    69 KB (6,563 words) - 14:07, 26 May 2025
  • Thumbnail for Bunkbed conjecture
    Bunkbed conjecture (category Percolation theory)
    bunkbed conjecture (also spelled bunk bed conjecture) is a statement in percolation theory, a branch of mathematics that studies the behavior of connected clusters...
    7 KB (714 words) - 15:54, 7 January 2025
  • In statistical mechanics, bootstrap percolation is a percolation process in which a random initial configuration of active cells is selected from a lattice...
    6 KB (766 words) - 09:10, 22 April 2025
  • Percolation surface critical behavior concerns the influence of surfaces on the critical behavior of percolation. Percolation is the study of connectivity...
    8 KB (1,093 words) - 15:29, 27 August 2024
  • Invasion percolation is a mathematical model of realistic fluid distributions for slow immiscible fluid invasion in porous media, in percolation theory. It...
    1 KB (142 words) - 05:16, 20 March 2025
  • Thumbnail for Swiss cheese model
    Frosch described Reason's model in mathematical terms as a model in percolation theory, which he analyses as a Bethe lattice. The model includes active and...
    11 KB (1,212 words) - 19:25, 2 June 2025
  • Thumbnail for Conductance (graph theory)
    (}\ln \pi (x)^{-1}+\ln \delta ^{-1}{\big )}} . Resistance distance Percolation theory Krackhardt E/I Ratio Jerrum & Sinclair 1988, pp. 235–244. Jerrum,...
    9 KB (1,407 words) - 21:03, 14 April 2025
  • Thumbnail for Fermi paradox
    model based on percolation theory. Colonization efforts may not occur as an unstoppable rush, but rather as an uneven tendency to "percolate" outwards, within...
    142 KB (16,106 words) - 13:32, 10 June 2025
  • Thumbnail for Graph theory
    studied as a phase transition. This breakdown is studied via percolation theory. Graph theory is also widely used in sociology as a way, for example, to...
    50 KB (6,237 words) - 21:13, 9 May 2025
  • Flory–Stockmayer theory was the first theory investigating percolation processes. Flory–Stockmayer theory is a special case of random graph theory of gelation...
    8 KB (1,120 words) - 05:05, 6 February 2025
  • Thumbnail for Hugo Duminil-Copin
    mathematical proof more satisfying, but developed an interest in percolation theory, which is used in mathematical physics to address issues in statistical...
    20 KB (1,699 words) - 06:39, 27 September 2024
  • fields such as stochastic geometry, spatial statistics and continuum percolation theory and frequently serve as mathematical models of random phenomena, representable...
    12 KB (1,541 words) - 14:13, 3 February 2025
  • University of Cologne. He is known in particular for his work on percolation theory, cellular automata and computational physics. Stauffer was born in...
    4 KB (379 words) - 11:47, 13 April 2024