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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Random Walk on the symmetric Exclusion process

## Random Walk on the symmetric Exclusion processAdd to your list(s) Download to your calendar using vCal - Daniel Kious (University of Bath)
- Tuesday 09 July 2024, 14:00-15:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. SSDW01 - Self-interacting processes In this talk, I will overview works on random walks in dynamical random environments. I will recall a result obtained in collaboration with Hilario and Teixeira and then I will focus on a work with Conchon—Kerjan and Rodriguez.Our main interest is to investigate the long-term behavior of a random walker evolving on top of the simple symmetric exclusion process (SSEP) at equilibrium, with density in [0,1].At each jump, the random walker is subject to a drift that depends on whether it is sitting on top of a particle or a hole.We prove that the speed of the walk, seen as a function of the density, exists for all density but at most one, and that it is strictly monotonic. We will explain how this helps understand the non-existence of transient regimes with zero speed. We will provide an outline of the proof, whose general strategy is inspired by techniques developed for studying the sharpness of strongly-correlated percolation models. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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