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DTSTAMP:20261029T161041Z
UID:6a1dd88174f8d412754985@ist.ac.at
DTSTART:20261102T160000
DTEND:20261102T170000
DESCRIPTION:Speaker: Yueh-Sheng Hsu\nhosted by Laszlo Erdös & Jan Maas\nAb
 stract: For singular SPDEs\, solutions are typically given by the limit of
  appropriately renormalised random PDEs driven by mollified noises. Under 
 the assumption of subcriticality\, the black-box theory of regularity stru
 ctures provides a systematic way of renormalisation. However\, subcritical
 ity alone does not promise the convergence of such renormalised solution\,
  as stochastic objects required to make sense of the solution theory can h
 ave exploding variance when the mollification is removed. We will look at 
 two examples which exhibit this phenomenon. In the first case\, we will co
 nsider a supercritical SPDE and introduce an additional renormalisation in
  a multiplicative way\, which leads to a limit different from what one wou
 ld heuristically guess. In the second case\, we start from a subcritical S
 PDE and consider the fluctuation of the renormalised solution around its l
 imit\; in particular\, we prove a central limit-type theorem which charact
 erises the fluctuation scale aswell as its limiting profile in law\, which
  again solves a singular SPDE.This talk is based on joint works with Mt Ge
 rencsr and Rhys Steele.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Yueh-Sheng Hsu: On the variance blow-up phenomenon of singular SPDE
 s
URL:https://talks-calendar.ista.ac.at/events/6731
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