Collisions of random walks in dynamic random environments
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.
Additional Information© 2022 Institute of Mathematical Statistics. Creative Commons Attribution 4.0 International License. Submitted to EJP on January 4, 2021, final version accepted on December 30, 2021. First available in Project Euclid: 17 January 2022. We thank Sebastian Andres and Jonathan Hermon for helpful comments on a draft of the paper.
Published - 21-EJP738.pdf
Submitted - 2009.13951.pdf