Homogenization of a reflecting barrier Brownian motion in a continuum percolation cluster in \(R^ d\)

DOI10.2996/kmj/1138039962zbMath0808.60085OpenAlexW2015344829MaRDI QIDQ1340416

Hideki Tanemura

Publication date: 19 December 1994

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039962

zbMATH Keywords

Poisson distributioncentral limit theoremsubcritical casereflecting Brownian motionsupercritical casecontinuum percolation modeldiscrete site percolation model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (3)

An invariance principle for non-symmetric Markov processes and reflecting diffusions in random domains ⋮ On diffusions in media with pockets of large diffusivity ⋮ Heat kernel estimates for random walks on some kinds of one-dimensional continuum percolation clusters

Cites Work

• Central limit theorem for a random walk with random obstacles in \(R^ d\)
• An invariance principle for reversible Markov processes. Applications to random motions in random environments
• Approximation of semi-groups of operators
• Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
• A central limit theorem for diffusions with periodic coefficients
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Density and uniqueness in percolation
• Bulk transport properties and exponent inequalities for random resistor and flow networks
• On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities
• On a martingale method for symmetric diffusion processes and its applications
• The Russo-Seymour-Welsh theorem and the equality of critical densities and the ``dual critical densities for continuum percolation on \({\mathbb{R}}^ 2\)
• First-passage percolation, network flows and electrical resistances
• The supercritical phase of percolation is well behaved
• Limit theorems for a class of diffusion processes
• Behavior of the supercritical phase of a continuum percolation model on ℝ^d
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