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SUMMARY:Kunwoo Kim (POSTECH\, Korea)
DTSTART:20210419T100000Z
DTEND:20210419T104500Z
DTSTAMP:20260421T173433Z
UID:BPS/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BPS/32/">Pha
 se Analysis for a family of Stochastic Reaction-Diffusion Equations</a>\nb
 y Kunwoo Kim (POSTECH\, Korea) as part of Bangalore Probability Seminar\n\
 n\nAbstract\nWe consider a family of stochastic reaction-diffusion equatio
 ns driven by space-time white noise. The reaction term belongs to a large 
 family of functions that includes Fisher-KPP nonlinearities [V (x) = x(1 
 − x)] as well as Allen-Cahn potentials [V (x) = x(1 − x)(1 + x)] . We 
 show that (i) if the noise intensity is large\, our stochastic PDE has the
  unique invariant measure\; and (ii) if the noise intensity is small\, the
  collection of all invariant measures is a non-trivial line segment\, in p
 articular infinite. Our methods also say a great deal about the structure 
 of these invariant measures. This is based on joint work with Davar Khoshn
 evisan\, Carl Mueller and Shang-Yuan Shiu.\n
LOCATION:https://researchseminars.org/talk/BPS/32/
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