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SUMMARY:Energy exchange models\, random walks and the KPZ class
DTSTART:20260528T120000Z
DTEND:20260528T130000Z
DTSTAMP:20260614T221500Z
UID:indico-event-15373@indico.math.cnrs.fr
DESCRIPTION:Speakers: Guillaume Barraquand (LPENS)\n\nKipnis\, Marchioro\,
  and Presutti (KMP) introduced in 1980 a very simple Markovian model for e
 nergy exchange in a chain of harmonic oscillators. In many ways\, the KMP 
 model behaves like the symmetric simple exclusion process (SSEP). The goal
  of this talk is to explain why\, unlike the SSEP\, the KMP model converge
 s to the Kardar-Parisi-Zhang (KPZ) equation under a somewhat unusual scali
 ng. The proof relies on the analysis of a random walk in a random environm
 ent associated with the KMP model. Thus\, most of the talk will focus on e
 xplaining the connection between random walks in random environments and t
 he KPZ class in spatial dimension 1. If time permits\, I will report on so
 me progress and conjectures in higher dimensions.\n\nhttps://indico.math.c
 nrs.fr/event/15373/
LOCATION:Fokko du Cloux (ICJ)
URL:https://indico.math.cnrs.fr/event/15373/
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