BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Hendrik Weber (Bath) DTSTART:20210610T150000Z DTEND:20210610T163000Z DTSTAMP:20260423T021249Z UID:AQFP/9 DESCRIPTION:Title: Gib bs measures in infinite dimensions - Some new results on a classical topic \nby Hendrik Weber (Bath) as part of Analysis\, Quantum Fields\, and P robability\n\n\nAbstract\nGibbs measures on spaces of functions or distrib utions play an important role in \nvarious contexts in mathematical physic s. They can\, for example\, be viewed as continuous \ncounterparts of cla ssical spin models such as the Ising model\, they are an important steppin g \nstone in the rigorous construction of Quantum Field Theories\, and the y are invariant under the \nflow of certain dispersive PDEs\, permitting t o develop a solution theory with random initial data\, \nwell below the de terministic regularity threshold. \n\nThese measures have been constructed and studied\, at least since the 60s\, but over the last few \nyears ther e has been renewed interest\, partially due to new methods in stochastic a nalysis\, including\nHairer’s theory of regularity structures and Gubine lli-Imkeller-Perkowski’s theory of \nparacontrolled distributions. \n\nI n this talk I will present two independent but complementary results that can be obtained with \nthese new techniques. I will first show how to obta in estimates on samples from of the Euclidean \n$\\phi^4_3$ measure\, base d on SPDE methods. I will then discuss a new method to show the \nemergenc e of phase transitions in the phi^4_3 theory. \n\nThis is based on joint w orks with \nA. Chandra\, A. Moinat https://arxiv.org/abs/1910.13854\n\n and \n\nA. Chandra\, T. Gunaratnam https://arxiv.org/abs/2006.15933\n LOCATION:https://researchseminars.org/talk/AQFP/9/ END:VEVENT END:VCALENDAR