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Spectral homogenization of reversible random walks on in a random environment

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  • Boivin, D.
  • Depauw, J.

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.

Suggested Citation

  • Boivin, D. & Depauw, J., 2003. "Spectral homogenization of reversible random walks on in a random environment," Stochastic Processes and their Applications, Elsevier, vol. 104(1), pages 29-56, March.
    • Handle: RePEc:eee:spapps:v:104:y:2003:i:1:p:29-56
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    References listed on IDEAS

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    1. Zhou, Xian Yin, 1993. "Green function estimates and their applications to the intersections of symmetric random walks," Stochastic Processes and their Applications, Elsevier, vol. 48(1), pages 31-60, October.
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