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UID:20250918T134617EDT-3691IeUusL@132.216.98.100
DTSTAMP:20250918T174617Z
DESCRIPTION:Title: The dynamical Ising-Kac model converges to Φ^4 in three 
 dimensions.\n\nAbstract. The Glauber dynamics of the Ising-Kac model descr
 ibes the evolution of spins on a lattice\, with the flipping rate of each 
 spin depending on an average field in a large neighborhood. Giacomin\, Leb
 owitz\, and Presutti conjectured in the 90s that the random fluctuations o
 f the process near the critical temperature coincide with the solution of 
 the dynamical Φ^4 model. This conjecture was proved in one dimension by Be
 rtini\, Presutti\, Ruediger\, and Saada in 1993 and the two-dimensional ca
 se was proved by Mourrat and Weber in 2014. Our result settles the conject
 ure in the three-dimensional case.\n	\n	The dynamical Φ^4 model is given by 
 a non-linear stochastic partial differential equation which is driven by a
 n additive space-time white noise and which requires renormalization of th
 e non-linearity in dimensions two and three. The renormalization has a phy
 sical meaning and corresponds to a small shift of the inverse temperature 
 of the discrete system away from its critical value.\n\nZoom link: https:/
 /mcgill.zoom.us/j/89737173009?pwd=UzlwZkVPK0RnYXk4VGM2aXo4V3Q2QT09\n
DTSTART:20230413T153000Z
DTEND:20230413T163000Z
LOCATION:Room 708\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Konstantin Matetski (Columbia University)
URL:/mathstat/channels/event/konstantin-matetski-colum
 bia-university-347656
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