English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider a stationary and ergodic random field {\omega(b)} parameterizedby the family of bonds b in Z^d, d>1. The random variable \omega(b) is thoughtof as the conductance of bond b and it ranges in a finite interval [0,c_0].Assuming that the set of bonds with positive conductance has a unique infinitecluster C, we prove homogenization results for the random walk among randomconductances on C. As a byproduct, applying the general criterion of \cite{F}leading to the hydrodynamic limit of exclusion processes with bond-dependenttransition rates, for almost all realizations of the environment we prove thehydrodynamic limit of simple exclusion processes among random conductances onC. The hydrodynamic equation is given by a heat equation whose diffusion matrixdoes not depend on the environment. We do not require any ellipticitycondition. As special case, C can be the infinite cluster of supercriticalBernoulli bond percolation.

Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit