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.
We thank Sebastian Andres and Jonathan Hermon for helpful comments on a draft of the paper.
"Collisions of random walks in dynamic random environments." Electron. J. Probab. 27 1 - 18, 2022. https://doi.org/10.1214/21-EJP738