Quenched invariance principle for random walks on dynamically averaging random conductances

Stein Andreas Bethuelsen, Christian Hirsch, Christian Mönch

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

Abstract

We prove a quenched invariance principle for continuous-time random walks in a dynamically averaging environment on Z. In the beginning, the conductances may fluctuate substantially, but we assume that as time proceeds, the fluctuations decrease according to a typical diffusive scaling and eventually approach constant unit conductances. The proof relies on a coupling with the standard continuous time simple random walk.

Original languageEnglish
Article number69
JournalElectronic Communications in Probability
Volume26
Pages (from-to)1-13
Number of pages13
ISSN1083-589X
DOIs
Publication statusPublished - 2021

Keywords

  • Dynamic random environment
  • Invariance principle
  • Random walk

Fingerprint

Dive into the research topics of 'Quenched invariance principle for random walks on dynamically averaging random conductances'. Together they form a unique fingerprint.

Cite this