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PRODID:-//Memento EPFL//
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SUMMARY:Paths\, fields and fractal geometry.
DTSTART:20230425T150000
DTEND:20230425T155000
DTSTAMP:20260415T204644Z
UID:46935c2873946003744110631eb325ef3378df89ece4a5549e25e92f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Titus Lupu  (CNRS/ NYU)\nThe 2D Brownian loop soup is a Poiss
 on collection of Brownian loops in a 2D domain. It has been introduced by 
 Lawler and Werner for its conformal invariance properties\, and then used 
 by Sheffield and Werner to give a construction of the Conformal Loop Ensem
 bles (CLE).\nFor one particular intensity parameter (equal to 1/2)\, it sa
 tisfies remarkable properties\, such as a spatial Markov property\, and is
  related to the Gaussian free field (GFF). This has been first observed in
  the discrete setting by Le Jan\, and is a particular instance of the rand
 om walk representations of the GFF. This kind of relations can be renormal
 ized in the continuum limit in dimension 2. I will explain how in 2D conti
 nuum one gets the free field\, its multiplicative chaos (Wick exponential)
 \, its Wick powers\, its height gap\, out of the Brownian loop soup with i
 ntensity parameter 1/2. Using Brownian loop soups with different intensity
  parameters\, one gets other fields\, a priori not related to the GFF\, an
 d I will mention that too.\nThis talk is based on different joint works wi
 th Juhan Aru\, Avelio Sepulveda\, Elie Aïdekon\, Nathanaël Berestycki\, 
 Antoine Jégo and Wei Qian.
LOCATION:GA 3 34 https://plan.epfl.ch/?room==GA%203%2034
STATUS:CONFIRMED
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