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SUMMARY:The nonlinear stochastic heat equation in the critical dimension
DTSTART:20230321T150000
DTEND:20230321T155000
DTSTAMP:20260501T190111Z
UID:a43fb2dd018dc6c58355e273269f3f21209443a28c956e1c63dee2e3
CATEGORIES:Conferences - Seminars
DESCRIPTION:Alexander Dunlap (Courant Institute)\n\nAbstract:\nI will disc
 uss a two-dimensional stochastic heat equation with a nonlinear noise stre
 ngth\, and consider a limit in which the correlation length of the noise i
 s taken to 0 but the noise is attenuated by a logarithmic factor. The limi
 ting pointwise statistics can be related to a stochastic differential equa
 tion in which the diffusivity solves a PDE somewhat reminiscent of the por
 ous medium equation. This relationship is established through the theory o
 f forward-backward SDEs. I will also explain several cases in which the PD
 E can be solved explicitly\, some of which correspond to known probabilist
 ic models. This talk will be based on current joint work with Cole Graham 
 and earlier joint work with Yu Gu.\n\n 
LOCATION:GA 3 34 https://plan.epfl.ch/?room==GA%203%2034
STATUS:CONFIRMED
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