Quenched invariance principle for random walks on dynamically averaging random conductances
Journal article, Peer reviewed
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Date
2021Metadata
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- Department of Mathematics [985]
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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.