Spectral homogenization of reversible random walks on in a random environment

D. Boivin and J. Depauw

Stochastic Processes and their Applications, 2003, vol. 104, issue 1, 29-56

Abstract: The first result is a homogenization theorem for the Dirichlet eigenvalues of reversible random walks on with stationary and uniformly elliptic conductances. It is then used to prove that the CLT holds in [mu]-almost all environments and to study the law of the exit times. Applications to the almost sure convergence of capacities and currents are given in the last section.

Keywords: Central; limit; theorem; Difference; operators; Dirichlet; eigenvalues; Exit; times; Random; media (search for similar items in EconPapers)
Date: 2003
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