BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Statistical mechanics unlaced
DTSTART:20250506T075000Z
DTEND:20250506T085000Z
DTSTAMP:20260712T093600Z
UID:indico-event-13961@indico.math.cnrs.fr
DESCRIPTION:Speakers: Romain Panis (ICJ)\n\nUnderstanding the (near-)criti
 cal behaviour of lattice models is one of the main challenges in statistic
 al mechanics. A prominent approach to this problem is the computation of t
 he model's critical exponents. This task is generally impossible due to th
 e intricate interplay between the specific features of the models and the 
 geometry of the graphs on which they are defined. A striking observation w
 as made in the case of models defined on Z^d: beyond an upper-critical dim
 ension d_c\, the geometry no longer plays a significant role\, and the cri
 tical exponents simplify\, matching those found on Cayley trees or complet
 e graphs. The regime d>d_c is called the mean-field regime of the model.In
  the 1980's\, two prominent approaches have been developed to (systematica
 lly) understand the mean-field regime of a model: the rigorous renormaliza
 tion group method and the lace expansion. It usually requires a lot of wor
 k to transfer the analysis involved in these methods from one model to the
  other.We revisit the study of the mean-field regime and present an altern
 ative\, more probabilistic\, and unified approach. Our method applies to m
 any perturbative settings including\, the weakly-self avoiding walk model 
 in dimensions d>4\, spread-out Bernoulli Percolation in dimensions d>6\, o
 r even one- and two-component spin models in dimensions d>4.Based on ongoi
 ng works with Hugo Duminil-Copin\, Aman Markar\, and Gordon Slade.\n\nhttp
 s://indico.math.cnrs.fr/event/13961/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/13961/
END:VEVENT
END:VCALENDAR