Arbitrary many walkers meet infinitely often in a subballistic random environment

Alexis Devulder, Nina Gantert, Françoise Pène

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We consider d independent walkers in the same random environment in Z. Our assumption on the law of the environment is such that a single walker is transient to the right but subballistic. We show that — no matter what d is — the d walkers meet infinitely often, i.e. there are almost surely infinitely many times for which all the random walkers are at the same location.

Original languageEnglish
Article number100
JournalElectronic Journal of Probability
Volume24
DOIs
StatePublished - 2019

Keywords

  • Collisions
  • Random environment
  • Random walk
  • Recurrence
  • Transience

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