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DTSTART:20230326T030000
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DTSTAMP:20230201T114606Z
UID:1674665100@ist.ac.at
DTSTART:20230125T174500
DTEND:20230125T190000
DESCRIPTION:Speaker: Rhys Steele\nhosted by M. Beiglböck\, N. Berestycki\,
L. Erdös\, J. Maas\, F. Toninelli\, E. Schertzer\nAbstract: A common thr
ead in modern approaches to providing a solution theory to singular stocha
stic PDEs is that the probabilistic aspects of the problem are encoded in
the construction of a random element of some nonlinear space of distributi
ons. Once a realisation of this data is fixed\, the remaining theory is th
en deterministic.In this talk\, we will discuss this probabilistic aspect
within the framework of regularity structures (where the nonlinear data is
known as a “model”). In this setting\, it is highly non-obvious that
typical driving noises for singular SPDEs yield suitable models and it is
typically the case that some renormalisation procedure is needed. The prim
ary purpose of this talk will be to discuss a new approach to obtaining th
e necessary stochastic estimates which leverages as a core probabilistic a
ssumption a spectral gap inequality for the driving noise of the equation.
(Based on a joint work with Martin Hairer)
LOCATION:Mondi 2\, I01.01.008\, Central Building\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Rhys Steele: BPHZ Renormalisation in Regularity Structures via Spec
tral Gap
URL:https://talks-calendar.ista.ac.at/events/3957
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