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DTSTART:20230326T030000
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BEGIN:VEVENT
DTSTAMP:20260424T113929Z
UID:1686145500@ist.ac.at
DTSTART:20230607T154500
DTEND:20230607T164500
DESCRIPTION:Speaker: Paul Bourgade\nhosted by M. Beiglböck\, N. Berestycki
 \, L. Erdös\, J. Maas\, F. Toninelli\, E. Schertzer\nAbstract: The moment
 s of the characteristic polynomial of large random matrices have been of i
 nterest since Brézin and Hikami. They have been motivated by analogies wi
 th L-functions\, and more recently they were instrumental to understand so
 me complexity of high dimensional random fields\, and the emergence of 1d 
 Gaussian multiplicative chaos measures from self-adjoint random matrices b
 y Webb. I will explain new results for non-integer moments in bidimension
 al settings\, namely dynamics of unitary Brownian motion and non-Hermitian
  random matrices. This implies convergence of random characteristic polyno
 mials towards 2d Gaussian multiplicative chaos measures. This is based on 
 joint works with Hugo Falconet\, and Guillaume Dubach and Lisa Hartung.
LOCATION:Mondi 2 (I01.01.008)\, Central Building\, ISTA
ORGANIZER:
SUMMARY:Paul Bourgade: Moments of random characteristic polynomials
URL:https://talks-calendar.ista.ac.at/events/4268
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