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SUMMARY:Alexander Bufetov (CNRS & Institut Institut de Mathématiques de M
 arseille & Steklov\, IITP RAS)
DTSTART:20210616T151500Z
DTEND:20210616T161500Z
DTSTAMP:20260415T054710Z
UID:Azat/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Azat/2/">Det
 erminantal point processes: quasi-symmetries\, minimality\, and interpolat
 ion</a>\nby Alexander Bufetov (CNRS & Institut Institut de Mathématiques 
 de Marseille & Steklov\, IITP RAS) as part of Azat Miftakhov Day\n\n\nAbst
 ract\nWhat is the relation between a determinantal point process and the H
 ilbert space that governs it?  For the sine-process of Dyson\, almost ever
 y realization with one particle removed is a complete and minimal set for 
 the Paley-Wiener space\, while if two particles are removed\, then one obt
 ains azero set for the Paley-Wiener space.  Quasi-invariance of the sine-p
 rocess under compactly supported diffeomorphisms plays a key role.  In joi
 nt work with Qiu\, the Patterson-Sullivan construction is used to interpol
 ate Bergman functions from the zero set of a random series with independen
 t complex Gaussian entries.  The determinantal property\, due to Peres and
  Virg\, and the invariance of the zero set under the isometries of the Lob
 achevsky plane play a key role.\n
LOCATION:https://researchseminars.org/talk/Azat/2/
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