PERCOLATION AND THE RANDOM CLUSTER MODEL 17
On the Random Cluster Model
... the Random Cluster Model on a modest 10 × 10 square lattice with periodic boundary conditions has 2 200 states and even elementary operations on this entire space will not work on any existing ...
32
PERCOLATION AND RANDOM GRAPHS
... graph. Percolation is a model of a porous medium, and is a paradigm model of statistical ...Thus, percolation admits a phase ...the model, the results obtained up to date are far from ...
74
PERCOLATION OF RANDOM CYLINDER AGGREGATES
... scale random aggregates of parallel cylinders based on the Boolean ...of model is well suited to the simulation of coatings deposited by means of a plasma ...the percolation threshold is practically ...
7
Percolation on random networks with proliferation
... The main motivation of network growth studies so far has been to link growth mechanism to emergent phenomena of the network such as a power-law degree distribution, giving rise to a common pattern of adding new nodes ...
11
BRANCHING RANDOM WALKS AND MULTI-TYPE CONTACT-PROCESSES ON THE PERCOLATION CLUSTER OF Z d
... BRANCHING RANDOM WALKS AND MULTI-TYPE CONTACT-PROCESSES ON THE PERCOLATION CLUSTER OF Z d DANIELA BERTACCHI AND FABIO ZUCCA ...branching random walk on Z d survives locally (at arbitrarily ...
15
A Study on Numerical Calculation Method of Small Cluster Density in Percolation Model
... Keywords Percolation Model, Cluster Number Density, Numerical Method ...of random small pathways in porous ...pathways. Percolation model, first introduced by Simon Broadbent and ...
6
Bootstrap Percolation on Geometric Inhomogeneous Random Graphs
... GIRG model for scale-free networks with underlying geometry, even a small region can cause an infection that spreads through a linear part of the ...bootstrap percolation is not a perfect model for ...
15
Multi-coloured jigsaw percolation on random graphs
... jigsaw percolation process, introduced by Brummitt, Chatterjee, Dey and Sivakoff, was inspired by a group of people collectively solving a ...are random, then the jigsaw percolation process exhibits ...
13
Critical probabilities of percolation on graphs and random trees
... Conclusion Percolation is a model which is easy to define and yet it exhibits a variety of fasci- nating ...Indeed, percolation theory has many profound and rather difficult theorems, with a host of ...
45
ON PERCOLATION IN RANDOM GRAPHS WITH GIVEN VERTEX DEGREES
... related random graph ...the random graphs that we consider, not seen a detailed proof of it in the literature, so for completeness we provide one in Appendix ...
35
Bootstrap Percolation in Power-Law Random Graphs
... bootstrap percolation process on a graph G is an “infection” process which evolves in ...inhomogeneous random graph, which exhibits a power-law degree distribution, and initially there are a (n) randomly ...
21
Particle Density Retrieval in Random Media Using a Percolation Model and a Particle Swarm Optimizer
... where [W 0 (Q i )] 45 HB o and [W 0 ] 45 m o are the estimated and measured power density values, respectively. The ill-posedness of the problem is due to the loss of information in the solution of the forward problem, ...
9
The random cluster model on the tree : Markov chains, random connections and boundary conditions
... of random cluster mod- els defined by Grimmett-Janson boundary ...the random cluster model with open boundary conditions is ...of random cluster models that corresponds ...
195
Percolation on Sparse Random Graphs with Given Degree Sequence
... of percolation processes on a sparse random graph with a given degree ...site percolation where the vertices are retained with probability ...
28
Emergent percolation length and localization in random elastic networks
... on percolation theory and a coarse-graining analysis, numerically exact diagonalization, and finite-size ...minimal model presented here with those of amorphous ...
11
Quenched exit times for random walk on dynamical percolation
... Dynamical percolation, random walk, hitting times, mixing ...for random walk on dynamical percolation on the torus Z d n of side length n with parameters p and µ ≤ ...this model is ...
15
The Percolation Transition in the Lorentz Model
... Before entering the detail of the discussion, it is important to underline that one can refer to two possible ensembles when it comes to study the dynamical properties of percolating clusters. The first one includes only ...
14
On Delaunay random cluster models
... continuum percolation. In showing the existence of percolation (for large activity and low temperature) of Delaunay random cluster represen- tations, we also happen to show the non-uniqueness ...
125
Research on the nonlinear spherical percolation model with quadratic pressure gradient and its percolation characteristics
... linear percolation is the approximation and simplification of nonlinear ...spherical percolation physical and mathematical model under different external boundaries is established, considering the ...
8
Directed compact percolation near a wall: II. Cluster length and size
... This is where new exponents are expected to be found and introduction of a bias will almost certainly cause reversion either to the bulk or to the wet wall exponents ([r] ...
8