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On symmetric random walks with random conductances on ℤd
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  • Published: 14 July 2005

On symmetric random walks with random conductances on ℤd

  • L.R.G. Fontes1 &
  • P. Mathieu2 

Probability Theory and Related Fields volume 134, pages 565–602 (2006)Cite this article

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Abstract

We study models of continuous time, symmetric, ℤd-valued random walks in random environments. One of our aims is to derive estimates on the decay of transition probabilities in a case where a uniform ellipticity assumption is absent. We consider the case of independent conductances with a polynomial tail near 0 and obtain precise asymptotics for the annealed return probability and convergence times for the random walk confined to a finite box.

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Author information

Authors and Affiliations

  1. IME-USP, Rua do Matão 1010, 05508-090, São Paulo, SP, Brazil

    L.R.G. Fontes

  2. CMI, 39 rue Joliot-Curie, 13013, Marseille, France

    P. Mathieu

Authors
  1. L.R.G. Fontes
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  2. P. Mathieu
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Corresponding author

Correspondence to P. Mathieu.

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Cite this article

Fontes, L., Mathieu, P. On symmetric random walks with random conductances on ℤd . Probab. Theory Relat. Fields 134, 565–602 (2006). https://doi.org/10.1007/s00440-005-0448-1

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  • Received: 14 March 2004

  • Revised: 03 January 2005

  • Published: 14 July 2005

  • Issue Date: April 2006

  • DOI: https://doi.org/10.1007/s00440-005-0448-1

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Keywords

  • Stochastic Process
  • Random Walk
  • Probability Theory
  • Mathematical Biology
  • Continuous Time
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