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SUMMARY:Random Walk on the symmetric Exclusion process - Daniel Kious (Uni
 versity of Bath)
DTSTART:20240710T081500Z
DTEND:20240710T091500Z
UID:TALK215575@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will overview works on random walks in dynami
 cal random environments. I will recall a result obtained in collaboration 
 with Hilario and Teixeira and then I will focus on a work with Conchon--Ke
 rjan and Rodriguez.Our main interest is to investigate the long-term behav
 ior of a random walker evolving on top of the simple symmetric exclusion p
 rocess (SSEP) at equilibrium\, with density in [0\,1].At each jump\, the r
 andom walker is subject to a drift that depends on whether it is sitting o
 n top of a particle or a hole.We prove that the speed of the walk\, seen a
 s 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 d
 eveloped for studying the sharpness of strongly-correlated percolation mod
 els.
LOCATION:Seminar Room 1\, Newton Institute
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