Collisions of Random Walks in Dynamic Random Environments
Probability
2020-09-30 v1
Abstract
We study dynamic random conductance models on 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.
Cite
@article{arxiv.2009.13951,
title = {Collisions of Random Walks in Dynamic Random Environments},
author = {Noah Halberstam and Tom Hutchcroft},
journal= {arXiv preprint arXiv:2009.13951},
year = {2020}
}