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Collisions of Random Walks in Dynamic Random Environments

Halberstam, Noah and Hutchcroft, Tom (2020) Collisions of Random Walks in Dynamic Random Environments. . (Unpublished)

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We study dynamic random conductance models on ℤ² in which the environment evolves as a reversible Markov process that is stationary under space-time shifts. We prove under a second moment assumption that two conditionally independent random walks in the same environment collide infinitely often almost surely. These results apply in particular to random walks on dynamical percolation.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Hutchcroft, Tom0000-0003-0061-593X
Additional Information:We thank Sebastian Andres and Jonathan Hermon for helpful comments on a draft of the paper.
Record Number:CaltechAUTHORS:20210924-202129801
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111035
Deposited By: George Porter
Deposited On:27 Sep 2021 14:44
Last Modified:27 Sep 2021 14:44

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