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UID:8711@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20251021T143000
DTEND;TZID=Europe/Paris:20251021T153000
DTSTAMP:20250721T140248Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-239/
SUMMARY:Ruojun HUANG (Uni Münster): Scaling limit of WASEP to KPZ equation
  without Gärtner transform.
DESCRIPTION:Ruojun HUANG: We prove that a rescaled and renormalised height 
 function\nof a weakly asymmetric simple exclusion process (WASEP) on a cir
 cle\nconverges to the Cole-Hopf solution of the KPZ equation.\nThis re-pro
 ves a well-known result by Bertini-Giacomin ('97)\,\nwith the only differe
 nce that they worked on the full line.\nThe main goal is to avoid Gärtner
  transform on the particle system\,\nwhich is a discrete version of the Co
 le-Hopf transform linearizing the KPZ equation.\nSuch nonlinear transforms
  are very special.\nWe use instead the framework of Hairer's regularity st
 ructures\nadapted to the discrete\, by Erhard-Hairer ('14)\, Grazieschi-Ma
 tetski-Weber ('24)\,\nand hope our approach is more robust.\nIn order to a
 pply this theory\,\nthe main technical challenge is the discrete renormali
 sation procedure\nwhich requires a subtle analysis of regularity-preservin
 g discrete convolution operators.\nBased on a joint work with Konstantin M
 atetski and Hendrik Weber.\n
CATEGORIES:Séminaire,Probabilités
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
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