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SUMMARY:Exact formulas on Gaussian multiplicative chaos and Liouville theo
 ry - Guillaume Remy (CNRS - Ecole Normale Superieure Paris)
DTSTART:20180720T081000Z
DTEND:20180720T085500Z
UID:TALK108211@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We will present recent progress that has been made to prove ex
 act formulas on the Gaussian multiplicative chaos (GMC) measures. We will 
 give the law of the total mass of the GMC measure on the unit circle (the 
 Fyodorov-Bouchaud formula) and on the unit interval (in collaboration with
  T. Zhu). The techniques of proof come from the link between GMC and Liouv
 ille conformal field theory studied by David-Kupiainen-Rhodes-Vargas. If t
 ime permits we will also discuss the connections with the quantum sphere a
 nd the quantum disk of the Duplantier-Miller-Sheffield approach to Liouvil
 le quantum gravity.
LOCATION:Seminar Room 1\, Newton Institute
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