Halberstam, Noah and Hutchcroft, Tom (2022) Collisions of random walks in dynamic random environments. Electronic Journal of Probability, 27 . Art. No. 8. ISSN 1083-6489. doi:10.1214/21-EJP738. https://resolver.caltech.edu/CaltechAUTHORS:20210924-202129801
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Abstract
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: | Article | |||||||||
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| 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. | |||||||||
| Subject Keywords: | Collisions, dynamic random environments, Dynamical percolation, Random walks | |||||||||
| Classification Code: | MSC 2020 subject classifications: 60J10; 05C81; 82C41; 60K37 | |||||||||
| DOI: | 10.1214/21-EJP738 | |||||||||
| Record Number: | CaltechAUTHORS:20210924-202129801 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210924-202129801 | |||||||||
| Official Citation: | Noah Halberstam, Tom Hutchcroft "Collisions of random walks in dynamic random environments," Electronic Journal of Probability, Electron. J. Probab. 27, 1-18, (2022); DOI: 10.1214/21-EJP738 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 111035 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 27 Sep 2021 14:44 | |||||||||
| Last Modified: | 03 Feb 2022 21:03 |
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