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SUMMARY:Large deviations for the Φ^4_3 measure via Stochastic Quantisatio
 n
DTSTART:20250424T120000Z
DTEND:20250424T130000Z
DTSTAMP:20260505T014600Z
UID:indico-event-13404@indico.math.cnrs.fr
DESCRIPTION:Speakers: Tom Klose (Oxford)\n\nThe Φ43 measure is one of the
  easiest non-trivial examples of a Euclidean quantum field theory (EQFT) w
 hose rigorous construction in the 1970’s has been one of the celebrated 
 achievements of the Constructive QFT community. In recent years\, progress
  in the field of singular stochastic PDEs\, initiated by the theory of reg
 ularity structures\, has allowed for a new construction of the Φ43 EQFT a
 s the invariant measure of a previously ill-posed Langevin dynamics—a st
 rategy originally proposed by Parisi and Wu (’81) under the name Stochas
 tic Quantisation. In this talk\, I will demonstrate that the same idea als
 o allows to transfer the large deviation principle for the Φ43 dynamics\,
  obtained by Hairer and Weber (’15)\, to the corresponding EQFT. Our str
 ategy is inspired by earlier works of Sowers (’92) and Cerrai and Röckn
 er (’05) for non-singular dynamics and potentially also applies to other
  EQFT measures. This is joint work with Avi Mayorcas (University of Bath)\
 , see arXiv:2402.00975. If time permits\, I will briefly explain how simil
 ar techniques may be used to study exit problems for the 3D Stochastic All
 en–Cahn equation which is a joint work in progress with Ioannis Gasterat
 os (TU Berlin).\n\nhttps://indico.math.cnrs.fr/event/13404/
LOCATION:Salle de Séminaires (Orléans)
URL:https://indico.math.cnrs.fr/event/13404/
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