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DTSTART:20200329T030000
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BEGIN:VEVENT
DTSTAMP:20201021T163728Z
UID:1603204200@ist.ac.at
DTSTART:20201020T163000
DTEND:20201020T171500
DESCRIPTION:Speaker: Hendrik Weber\nhosted by M. Beiglböck\, N. Berestycki
\, L. Erdös\, J. Maas\, F. Toninelli\nAbstract: Gibbs measures on spaces
of functions or distributions play an important role in various contexts i
n mathematical physics. They can\, for example\, be viewed as continuous c
ounterparts of classical spin models such as the Ising model\, they are an
important stepping stone in the rigorous construction of Quantum Field Th
eories\, and they are invariant under the flow of certain dispersive PDEs\
, permitting to develop a solution theory with random initial data\, well
below the deterministic regularity threshold. These measures have been con
structed and studied\, at least since the 60s\, but over the last few year
s there has been renewed interest\, partially due to new methods in stocha
stic analysis\, including Hairer’s theory of regularity structures and G
ubinelli-Imkeller-Perkowski’s theory of paracontrolled distributions. In
this talk I will present two independent but complementary results that c
an be obtained with these new techniques. I will first show how to obtain
estimates on samples from of the Euclidean $\\phi^4_3$ measure\, based on
SPDE methods. I will then discuss a new method to show the emergence of ph
ase transitions in the phi^4_3 theory. This is based on joint works with A
. Chandra\, A. Moinat https://arxiv.org/abs/1910.13854 and A. Chandra\, T.
Gunaratnam https://arxiv.org/abs/2006.15933
LOCATION:Online via Zoom\, IST Austria
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Gibbs measures in infinite dimensions - Some new results on a class
ical topic
URL:https://talks-calendar.app.ist.ac.at/events/2873
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