BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:AN ISOMORPHISM THEOREM FOR ANHARMONIC FIELDS AND SCALING LIMITS
DTSTART:20240410T160000
DTEND:20240410T165000
DTSTAMP:20260407T215710Z
UID:57a1c4bbea6334d0b2aad0577181cde633f114eb20ef1bfd7b7784b0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Professor Jean-Dominique Deuschel (TU Berlin)\nWe introduce a 
 natural measure on bi-infinite random walk trajectories evolving in a time
 -dependent environment driven by the Langevin dynamics associated to a gra
 dient Gibbs measure with convex potential. We derive an identity relating 
 the occupation times of the Poissonian cloud induced by this measure to th
 e square of the corresponding gradient field\, which is  generically not 
 Gaussian. In the quadratic case\, we recover a well-known generalization o
 f the second Ray-Knight theorem. We further determine the scaling limits o
 f the various objects involved in dimension 3\, which are seen to exhibit 
 homogenization. In particular\, we prove that the renormalized square of t
 he gradient field converges under appropriate rescaling to the Wick-ordere
 d square of a Gaussian free field on R^3 with suitable diffusion matrix\, 
 thus extending a celebrated result of Naddaf and Spencer regarding the sca
 ling limit of the field itself.\n\n-- A Probability and Stochastic Analysi
 s Seminar --
LOCATION:CM 1   517 https://plan.epfl.ch/?room=%3DCM%201%20517&dim_floor=1
 &lang=en&dim_lang=en&tree_groups=centres_nevralgiques_grp%2Cmobilite_acces
 _grp%2Crestauration_et_commerces_grp%2Censeignement%2Cservices_campus_gr
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR