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SUMMARY:Gaultier Lambert (University of Zurich)
DTSTART:20210312T130000Z
DTEND:20210312T140000Z
DTSTAMP:20260423T005737Z
UID:MEGA/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MEGA/16/">Ap
 plications of the theory of Gaussian multiplicative chaos to random matric
 es</a>\nby Gaultier Lambert (University of Zurich) as part of Séminaire M
 EGA\n\n\nAbstract\nLog-correlated fields are a class of stochastic process
 es which describe the fluctuations of some key observables in different pr
 obabilistic models in dimension 1 and 2 such as random tilings\, or the ch
 aracteristic polynomials of random matrices. Gaussian multiplicative chaos
  is a renormalization procedure which aims at defining the exponential of 
 a Log-correlated field in the form of a family of random measures. These r
 andom measures can be thought of as describing the extreme values of the u
 nderlying field. In this talk\, I will present some applications of this t
 heory to study the logarithm of the characteristic polynomial of some rand
 om matrices. I will focus on the Ginibre ensemble and also mention some re
 sults for the Gaussian unitary ensemble and circular beta ensembles.\n
LOCATION:https://researchseminars.org/talk/MEGA/16/
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