percolation theory

percolation theory
a field of mathematical study in which a theory models a cluster structure in a random graph to describe the spread of phenomena passing through the edges

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  • Percolation theory — In mathematics, percolation theory describes the behavior of connected clusters in a random graph. The applications of percolation theory to materials science and other domains are discussed in the article percolation.IntroductionA representative …   Wikipedia

  • Percolation threshold — is a mathematical term related to percolation theory, which is the formation of long range connectivity in random systems. In engineering and coffee making, percolation is the slow flow of fluids through porous media, but in the mathematics and… …   Wikipedia

  • Percolation — In physics, chemistry and materials science, percolation concerns also the movement and filtering of fluids through porous materials. Examples include the movement of solvents through filter paper (chromatography) and the movement of petroleum… …   Wikipedia

  • Theorie mathematique de la percolation — Théorie de la percolation Le modèle mathématique de la percolation a été introduit par John Hammersley en 1957. Il s intéresse aux caractéristiques des milieux aléatoires, plus précisément aux ensembles de sommets connectés dans un graphe… …   Wikipédia en Français

  • Théorie de la percolation — Le modèle mathématique de la percolation a été introduit par John Hammersley en 1957. Il s intéresse aux caractéristiques des milieux aléatoires, plus précisément aux ensembles de sommets connectés dans un graphe aléatoire. Informellement,… …   Wikipédia en Français

  • Théorie mathématique de la percolation — Théorie de la percolation Le modèle mathématique de la percolation a été introduit par John Hammersley en 1957. Il s intéresse aux caractéristiques des milieux aléatoires, plus précisément aux ensembles de sommets connectés dans un graphe… …   Wikipédia en Français

  • Network theory — For network theory of the regulation of the adaptive immune system see Immune network theory For the sociological theory, see Social network Network theory is an area of computer science and network science and part of graph theory. It has… …   Wikipedia

  • Conductivity near the percolation threshold — In a mixture between a dielectric and a metallic component, the conductivity σ and the dielectric constant ε of this mixture show a critical behavior if the fraction of the metallic component reaches the percolation threshold.[1] The behavior of… …   Wikipedia

  • Directed percolation — In statistical physics Directed Percolation (DP) refers to a class of models that mimic filtering of fluids through porous materials along a given direction. Varying the microscopic connectivity of the pores, these models display a phase… …   Wikipedia

  • Connected component (graph theory) — A graph with three connected components. In graph theory, a connected component of an undirected graph is a subgraph in which any two vertices are connected to each other by paths, and which is connected to no additional vertices. For example,… …   Wikipedia

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