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UID:7759@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160905T130000
DTEND;TZID=Europe/Paris:20160916T173000
DTSTAMP:20241120T204822Z
URL:https://www.i2m.univ-amu.fr/evenements/random-matrices-problem-of-riem
 ann-hilbert-ergodic-theory/
SUMMARY:Small group (CIRM\, Luminy\, Marseille): Random Matrices\, Problem 
 of Riemann-Hilbert\, Ergodic Theory
DESCRIPTION:Small group: ORGANIZER: A.BUFETOV\n-\nPARTICIPANTS: Y.QIU/ O.LI
 SOVYI/ I.KRASOVSKY/ A.HAIMI/ A.DYMOV/ B.UGURCAN/ A.SHAMOV\n-\nThe small gr
 oup will study chaotic properties of determinantal point processes\, empha
 sizing limit theorems and the Gibbs property. From an analytical point of 
 view\, the techniques employed will be closely related to the Riemann-hilb
 ert problem. The continuous sine-process of Dyson and its discrete analogu
 e introduced by Borodin\, Okounkov and Olshanski are the most classical ex
 amples of stationary determinantal point processes. Their ergodic properti
 es have been extensively studied in the last two decades. In particular\, 
 celebrated results of Costin-Lebowitz and Soshnikov give the Central Limit
  Theorem for a wide class of determinantal processes including the sine-pr
 ocess. Nonetheless many key questions about the dynamics of determinantal 
 point processes remain wide open\, and the objectives below are open probl
 ems for the sine-process itself. The central aim is to give a precise quan
 titative description of the chaotic behaviour of the trajectories of deter
 minantal point processes. The main difficulty is that the variance of the 
 number of particles of the sine-process exhibits an extremely slow logarit
 hmic growth as opposed to linear growth found in most models.-\n\n\n-\n-
CATEGORIES:Event ERC IChaos,Manifestation scientifique,Morlet Small Group
LOCATION:Luminy - CIRM\, 163 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=Luminy - CIRM:geo:0,0
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DTSTART:20160327T030000
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