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SUMMARY:Yier Lin (Columbia University)
DTSTART:20200806T143000Z
DTEND:20200806T153000Z
DTSTAMP:20260423T021152Z
UID:JIPS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JIPS/2/">Lya
 punov exponents of the SHE for general initial data</a>\nby Yier Lin (Colu
 mbia University) as part of Junior Integrable Probability Seminar\n\n\nAbs
 tract\nWe consider the 1+1 dimensional stochastic heat equation (SHE) with
  multiplicative white noise and the Cole-Hopf solution of the Kardar-Paris
 i-Zhang (KPZ) equation. We show an exact way of computing the Lyapunov exp
 onents of the SHE for a large class of initial data which includes any bou
 nded deterministic positive initial data and the stationary initial data. 
 As a consequence\, we derive exact formulas for the upper tail large devia
 tion rate functions of the KPZ equation for general initial data. Joint wo
 rk with Promit Ghosal.\n\nGo to https://sites.google.com/view/junior-ips f
 or zoom link and password.\n
LOCATION:https://researchseminars.org/talk/JIPS/2/
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