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UID:7584@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170402T000000
DTEND;TZID=Europe/Paris:20170406T000000
DTSTAMP:20241120T204416Z
URL:https://www.i2m.univ-amu.fr/evenements/conference-probably-on-random-m
 atrices-ens-lyon/
SUMMARY:Conference (...): Conference: ProbabLY ON Random Matrices (ENS Lyon
 )
DESCRIPTION:Conference: The conference will focus on active areas of Random
  Matrix Theory :\n\nAlexander's talk on Tuesday (april 4th at 14:00-14:45)
  : «Conditional measures of determinental point processes: the Gibbs prop
 erty and the Lyons-Peres Conjecture»\n\nAbstract:\nHow do determinantal p
 oint processes behave under conditioning with respect to fixing the config
 uration in a subset of the phase space? The talk will first address this q
 uestion for specific examples such as the sine-process or the process with
  the Bessel kernel\, where one can explicitl y write the analogue of the G
 ibbs property in our situation. We will then consider processes induced by
  general self-adjoint kernels\, for which\, in joint work with Yanqi Qiu a
 nd Alexander Shamov\, it is shown that conditional measures of such proces
 ses are themselves determinantal and gove rned by self-adjoint kernels\, t
 hat thethe tail sigma-algebra for such proces ses is trivial (a result ind
 ependently and by a completely different method obtained by Osada--Osada) 
 and proof is given of the Lyons-Peres conjecture o n completeness of the s
 ystem of kernels sampled at the particles of a random configuration. The t
 alk is based on the preprint arXiv:1605.01400 as well as on the preprint a
 rXiv:1612.06751 joint with Yanqi Qiu and Alexan der Shamov.
CATEGORIES:Event ERC IChaos
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