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SUMMARY:Benedek Valkó (University of Wisconsin- Madison)
DTSTART:20210115T153000Z
DTEND:20210115T163000Z
DTSTAMP:20260423T005741Z
UID:MEGA/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MEGA/14/">Th
 e stochastic zeta function.</a>\nby Benedek Valkó (University of Wisconsi
 n- Madison) as part of Séminaire MEGA\n\n\nAbstract\nChhaibi\, Najnudel a
 nd Nikhekgbali introduced a random entire function with zero set given by 
 the points of the Sine_2 process\, the point process limit of the circular
  unitary ensemble (CUE). They showed that the function is the limit of the
  normalized characteristic polynomials of the CUE. We provide new descript
 ions for this random function: as a power series built from Brownian motio
 n\, as a determinant connected to a random differential operator\, and as 
 the stationary solution of an SDE. Our approach extends to various general
 izations of the CUE: the circular beta-ensemble\, and the Hua-Pickrell ens
 emble.\n\nJoint with B. Virág (Toronto) and Yun Li (Wisconsin).\n
LOCATION:https://researchseminars.org/talk/MEGA/14/
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