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SUMMARY:A renormalisation group perspective on functional inequalities.
DTSTART:20240614T120000Z
DTEND:20240614T130000Z
DTSTAMP:20240916T115800Z
UID:indico-event-12121@indico.math.cnrs.fr
DESCRIPTION:Speakers: Thierry Bodineau (IHES)\n\nFunctional inequalities p
rovide information on the structure of a probability measure and on the re
laxation of associated stochastic dynamics to equilibrium. In this talk\,
we will describe a multiscale analysis for decomposing high-dimensional me
asures into simpler structures and derive from it functional inequalities.
The strategy is based on the renormalization group method used in statist
ical physics to study the distribution of interacting particle systems. We
will explain how this decomposition of measures can be interpreted in ter
ms of optimal transport. Finally\, we will review other related developm
ents among which numerical methods for sampling high-dimensional probabili
ties and generating images. \n\nhttps://indico.math.cnrs.fr/event/12121/
LOCATION:Amphi Fermat (Université Paul Sabatier\, Bâtiment 1A)
URL:https://indico.math.cnrs.fr/event/12121/
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