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 language | English |
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Article number | 69 |
Journal | Electronic Communications in Probability |
Volume | 26 |
Pages (from-to) | 1-13 |
Number of pages | 13 |
ISSN | 1083-589X |
DOIs | |
Publication status | Published - 2021 |
Keywords
- Dynamic random environment
- Invariance principle
- Random walk