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SUMMARY:Sharp threshold for the ballisticity of the random walk on the exc
 lusion process - Daniel Kious  (Bath)
DTSTART:20250311T140000Z
DTEND:20250311T150000Z
UID:TALK228142@talks.cam.ac.uk
CONTACT:118195
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 beha
 vior 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\, see
 n 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 can be seen as
  a sharpness result and provide an outline of the proof\, whose general st
 rategy is inspired by techniques developed for studying the sharpness of s
 trongly-correlated percolation models.
LOCATION:MR12
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