applications of percolation theory to materials science and in many other disciplines are discussed here and in the articles Network theory and Percolation (cognitive...

that modulates capacity for percolation. During the last decades, percolation theory, the mathematical study of percolation, has brought new understanding...

underlying points of discrete percolation form types of lattices whereas the underlying points of continuum percolation are often randomly positioned...

The percolation threshold is a mathematical concept in percolation theory that describes the formation of long-range connectivity in random systems. Below...

In the context of the physical and mathematical theory of percolation, a percolation transition is characterized by a set of universal critical exponents...

Operator theory Optimization theory Order theory Percolation theory Perturbation theory Probability theory Proof theory Quantum theory Queue theory Ramsey...

theory Null graph Pebble motion problems Percolation theory Perfect graph Quantum graph Random regular graphs Semantic networks Spectral graph theory...

bootstrap Ising critical exponents Percolation critical exponents Network science Percolation theory Graph theory Hagen Kleinert and Verena Schulte-Frohlinde...

an analog of mean-field theory (this dimension is 4d for Ising or for directed percolation, and 6d for undirected percolation). Critical exponents are...

Graph theory Interdependent networks Network science Percolation Percolation theory Random graph theory of gelation Regular graph Scale free network Semilinear...

networks. Percolation is a model used to explain how neural activity is transmitted across the various connections within the brain. Percolation theory can...

connected components are described by percolation theory. A key question in this theory is the existence of a percolation threshold, a critical probability...

paper "Percolation and Cluster Distribution. I. Cluster Multiple Labeling Technique and Critical Concentration Algorithm". Percolation theory is the study...

mathematical proof more satisfying, but developed an interest in percolation theory, which is used in mathematical physics to address issues in statistical...

links are removed with heterogeneous weights as weighted percolation). As percolation theory has much of its roots in physics, much of the research done...

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...

In statistical mechanics, bootstrap percolation is a percolation process in which a random initial configuration of active cells is selected from a lattice...

mathematics, including functional analysis, combinatorics, graph theory, and percolation. He was strongly influenced by Paul Erdős from the age of 14. As...

has been studied under the name of bootstrap percolation. Graph theory Network science Percolation Theory Core–periphery structure Cereceda's conjecture...

processes, stochastic geometry, spatial statistics and continuum percolation theory. The Poisson point process can be defined on more abstract spaces...

algebras, number theory and group theory. They also arise in applied mathematics in connection with coding theory, in percolation theory to study connectivity...

in many diverse disciplines, including statistical physics, information theory, nonlinear dynamics, anthropology, computer science, meteorology, sociology...

typical of all mean field theories, they fail to predict the properties of a multiphase medium close to the percolation threshold due to the absence...

systematic study of percolation in two dimensions, reported in his book Percolation Theory for Mathematicians. His work on scaling theory and scaling relations...

Flory–Stockmayer theory was the first theory investigating percolation processes. Flory–Stockmayer theory is a special case of random graph theory of gelation...

{\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...

model based on percolation theory. Colonization efforts may not occur as an unstoppable rush, but rather as an uneven tendency to "percolate" outwards, within...

directed percolation is illustrated to the right. In isotropic percolation a spreading agent (e.g. water) introduced at a particular site percolates along...

percolation is a mathematical method used to describe the paths reachable in a random medium within a given amount of time. First passage percolation...

Percolation theory – Mathematical theory on behavior of connected clusters in a random graph Network science – Academic field - mathematical theory of...