Random walks on discrete point processes

Noam Berger, Ron Rosenthal

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a model for random walks on random environments (RWRE) with a random subset of double-struck Zd as the vertices, and uniform transition probabilities on 2d points (the closest in each of the coordinate directions). We prove that the velocity of such random walks is almost surely zero, give partial characterization of transience and recurrence in the different dimensions and prove a Central Limit Theorem (CLT) for such random walks, under a condition on the distance between coordinate nearest neighbors.

Original languageEnglish
Pages (from-to)727-755
Number of pages29
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume51
Issue number2
DOIs
StatePublished - 1 May 2015
Externally publishedYes

Keywords

  • Discrete point processes
  • Random walk in random environment

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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