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UID:20260621T060444EDT-44978BvVBB@132.216.98.100
DTSTAMP:20260621T100444Z
DESCRIPTION: \n\nTitle: The characteristic polynomial of random matrices an
 d the Gaussian multiplicative chaos\n\nAbstract: Conjecturally\, the chara
 cteristic polynomials of many canonical classes of random matrices converg
 e to a universal random measure\, the Gaussian multiplicative chaos. This 
 convergence captures the extreme value behavior of many interesting random
  matrix quantities\, and there is a substantial body of work around it wit
 h interesting connections to the theory of branching processes and analyti
 c number theory\, among others. We survey the current state of the art of 
 this convergence for one—dimensional beta—ensembles\, a class of point pro
 cesses that generalize random matrix eigenvalue distributions. We then out
 line directions of ongoing work to advance this notion of convergence.\n
DTSTART:20190208T190000Z
DTEND:20190208T200000Z
LOCATION:Room 708\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Elliot Paquette - Ohio State University
URL:/mathstat/channels/event/elliot-paquette-ohio-stat
 e-university-294444
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