Abstract:We consider random walks in dynamic random environments and propose a criterion which, if satisfied, allows to decompose the random walk trajectory into i.i.d. increments, and ultimately to prove limit theorems. The criterion involves the construction of a random field built from the environment, that has to satisfy a certain random Markov property along with some mixing estimates. We apply this criterion to correlated environments such as Boolean percolation and renewal chains featuring polynomial decay of correlations.
From: Oriane Blondel [view email]
[v1]
Thu, 19 Sep 2024 07:13:02 UTC (35 KB)
[v2]
Fri, 21 Aug 2026 12:34:14 UTC (39 KB)
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