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SUMMARY:Scaling in Percolation Models with Long-Range Correlations
DTSTART:20230417T130000Z
DTEND:20230417T140000Z
DTSTAMP:20260504T230000Z
UID:indico-event-9654@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Pierre-François Rodriguez (Imperial College London)
 \n\nProbability and analysis informal seminarThe talk will present recent 
 progress towards a rigorous understanding of the critical regime associate
 d to continuous phase transitions in the presence of long-range correlatio
 ns\, in dimensions larger than 2. Our findings deal with a 3-dimensional p
 ercolation model built from the harmonic crystal\, which benefits from a r
 ich interplay with potential theory for the associated diffusion. The res
 ults rigorously exhibit the scaling behavior of various observables of int
 erest and unveil the values of the associated critical exponents\, which 
 are consistent with scaling theory below the upper-critical dimension (exp
 ectedly equal to 6). This confirms various predictions by physicists based
  on non-rigorous renormalization group techniques\, notably that of Weinri
 b-Halperin concerning the value of the associated correlation length expon
 ent. It also yields a proof of Fisher’s scaling relation for this model
 . Based on joint works with Alex Drewitz and Alexis Prevost.  ========Po
 ur être informé des prochains séminaires vous pouvez vous abonner à la
  liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec
  comme sujet: "subscribe seminaire_mathematique PRENOM NOM"(indiquez vos p
 ropres prénom et nom) et laissez le corps du message vide.\n\nhttps://ind
 ico.math.cnrs.fr/event/9654/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/9654/
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