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UID:8287@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20141003T110000
DTEND;TZID=Europe/Paris:20141003T120000
DTSTAMP:20241120T210324Z
URL:https://www.i2m.univ-amu.fr/evenements/quasi-symetries-des-processus-d
 eterminantaux/
SUMMARY:Alexander Bufetov (I2M\, Aix-Marseille Université): Quasi-symétri
 es des processus déterminantaux
DESCRIPTION:Alexander Bufetov: Quasi-symmetries of determinantal processes\
 nThe main result of this talk is that determinantal point processes on the
  real line corresponding to projection operators with integrable kernels a
 re quasi-invariant\, in the continuous case\, under the group of diffeomor
 phisms with compact support (Theorem 1.4)\; in the discrete case\, under t
 he group of all finite permutations of the phase space (Theorem 1.6). The 
 Radon-Nikodym derivative is computed explicitly and is given by a regulari
 zed multiplicative functional. Theorem 1.4 applies\, in particular\, to th
 e sine-process\, as well as to determinantal point processes with the Bess
 el and the Airy kernels\; Theorem 1.6 to the discrete sine-process and the
  Gamma kernel process. The paper answers a question of Grigori Olshanski.\
 nhttps://arxiv.org/abs/1409.2068\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Alexander_Bufetov.jpg
CATEGORIES:Séminaire,Processus Déterminantaux (ERC IChaos)
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