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SUMMARY:Bernoulli Lecture - Models of random growth and the Hamilton-Jacob
 i equation.
DTSTART:20190822T171500
DTEND:20190822T181500
DTSTAMP:20260506T054849Z
UID:bcbb544a2133164257e8e18a2e3c5ed1d71ee9b686f3e8cc6642558f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Konstantin Khanin\, University of Toronto Mississauga\nThe phe
 nomenon of KPZ (Kardar-Parisi-Zhang) universality was a very active resear
 ch area in the last 10 years. One can say that it describes universal stat
 istical properties of long directed optimal paths (geodesics) in 2D disord
 ered environment. Apart from many physical applications\, it is remarkable
  for extremely strong universality properties in very general setting\, as
  well as for many features of exact integrability. \n\nIn this talk we'll
  give a general overview of the KPZ problem. We shall then discuss a possi
 ble approach to the problem of universality based on global solutions to t
 he random Hamilton-Jacobi equation. We shall also discuss a new renormalis
 ation scheme based on geometrical properties of minimisers and shocks. \n
 \nFinally\, we shall formulate several conjectures and discuss some rigoro
 us results in their support.\n\nPart of the Semester : Dynamics with Stru
 ctures
LOCATION:GA 3 21 https://plan.epfl.ch/?room==GA%203%2021
STATUS:CONFIRMED
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