BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Willem Van Zuijlen (WIAS (Berlin))
DTSTART:20210608T140000Z
DTEND:20210608T150000Z
DTSTAMP:20260423T052806Z
UID:POSemP/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POSemP/6/">T
 otal mass asymptotics of the parabolic Anderson model</a>\nby Willem Van Z
 uijlen (WIAS (Berlin)) as part of Pisa Online Seminar in Probability\n\n\n
 Abstract\nWe consider the parabolic Anderson model with a white noise pote
 ntial in two dimensions. This model is also called the stochastic heat equ
 ation with a multiplicative noise. We study the large time asymptotics of 
 the total mass of the solution. Due to the irregularity of the white noise
 \, in two dimensions the equation is a priori not well-posed. Using paraco
 ntrolled calculus or regularity structures one can make sense of the equat
 ion by a renormalisation\, which can be thought of as "subtracting infinit
 y of the potential''. To obtain the asymptotics of the total mass we use t
 he spectral decomposition\, an alternative Feynman-Kac type representation
  and heat-kernel estimates which come from joint works with Khalil Chouk\,
  Wolfgang König and Nicolas Perkowski.\n
LOCATION:https://researchseminars.org/talk/POSemP/6/
END:VEVENT
END:VCALENDAR