BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Alex Dunlap (NYU Courant)
DTSTART:20220415T163000Z
DTEND:20220415T173000Z
DTSTAMP:20260423T005648Z
UID:PatC/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/62/">No
 nlinear weak-noise stochastic heat equations in two dimensions</a>\nby Ale
 x Dunlap (NYU Courant) as part of Probability and the City Seminar\n\n\nAb
 stract\nI will discuss a two-dimensional stochastic heat equation in the w
 eak noise regime with a nonlinear noise strength. I will explain how point
 wise statistics of solutions to this equation\, as the correlation length 
 of the noise is taken to 0 but the noise is attenuated by a logarithmic fa
 ctor\, can be related to a forward-backward stochastic differential equati
 on (FBSDE) depending on the nonlinearity. I will also discuss two cases in
  which the FBSDE can be explicitly solved: the linear stochastic heat equa
 tion\, for which we recover the log-normal behavior proved by Caravenna\, 
 Sun\, and Zygouras\, and branching Brownian motion/super-Brownian motion\,
  for which we obtain a solution to the Feller diffusion. This talk will be
  based on joint work with Yu Gu and with Cole Graham.\n
LOCATION:https://researchseminars.org/talk/PatC/62/
END:VEVENT
END:VCALENDAR