A conditional quenched CLT for random walks among random conductances on ℤd

C. Gallesco, N. Gantert, S. Popov, M. Vachkovskaia

Research output: Contribution to journalArticlepeer-review

Abstract

Consider a random walk among random conductances on ℤd with d≤ 2. We study the quenched limit law under the usual diffusive scaling of the random walk conditioned to have its first coordinate positive. We show that the conditional limit law is a linear transformation of the product law of a Brownian meander and a (d - 1)-dimensional Brownian motion.

Original languageEnglish
Pages (from-to)287-328
Number of pages42
JournalMarkov Processes and Related Fields
Volume20
Issue number2
StatePublished - 2014

Keywords

  • Brownian meander
  • Random conductance model
  • Reversibility
  • Uniform heat kernel bounds

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