Random walk in a stratified independent random environment

Abstract : We study Markov chains on a lattice in a codimension-one stratified independent random environment, exploiting results established in [2]. First of all the random walk is transient in dimension at least three. Focusing on dimension two, both recurrence and transience can happen, but transience remains by far the most general situation. We identify the critical scale of the local drift along the strata corresponding to the frontier between the two regimes.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-01922157
Contributor : Julien Brémont <>
Submitted on : Monday, May 20, 2019 - 9:56:16 AM
Last modification on : Thursday, May 30, 2019 - 1:13:31 AM

File

stratindep.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01922157, version 2
  • ARXIV : 1811.07562

Collections

Citation

Julien Brémont. Random walk in a stratified independent random environment. 2019. ⟨hal-01922157v2⟩

Share

Metrics

Record views

22

Files downloads

15