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UID:20251106T112745EST-18833V3TBX@132.216.98.100
DTSTAMP:20251106T162745Z
DESCRIPTION:Title: Operator level edge to bulk transitions in beta-ensemble
 s via canonical systems.\n\nAbstract: The stochastic Airy\, Bessel and sin
 e operators characterize the soft edge\, hard edge and bulk scaling limits
  of beta-ensembles. The stochastic Airy and Bessel operators are both rand
 om Sturm-Liouville operators\, but the stochastic sine operator is rather 
 a random Dirac operator\, which is a two-dimensional first-order different
 ial operator. While these two classes of operators are distinct\, they can
  both be represented as canonical systems\, which gives a unified framewor
 k for defining their spectral data. In this talk\, we will see how canonic
 al systems theory can be used to prove that in suitable high-energy scalin
 g limits\, the stochastic Airy and Bessel operators converge to the stocha
 stic sine operator. This is based on joint work with Elliot Paquette.\n\nZ
 oom link: https://umontreal.zoom.us/j/83832644262?pwd=gQDOX4997Yehibng7Gjt
 EKwUhqAqNV.1\n
DTSTART:20251106T163000Z
DTEND:20251106T173000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Vincent Painchaud (ºÚÁÏÍø)
URL:/biology/channels/event/vincent-painchaud-mcgill-u
 niversity-368692
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