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TZID:Europe/Paris
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BEGIN:VEVENT
UID:0-619@lptms.universite-paris-saclay.fr
DTSTART:20181127T110000Z
DTEND:20181127T120000Z
DTSTAMP:20181121T103926Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-alexandre-krajenbrink/
SUMMARY:Séminaire du LPTMS: Alexandre Krajenbrink - LPTMS\, salle 201\, 2
 ème étage\, Bât 100\, Campus d'Orsay - 27 Nov 18 11:00
DESCRIPTION:Linear statistics and pushed Coulomb-gas at the soft edge of ra
 ndom matrices : four paths to large deviations\nAlexandre Krajenbrink (LPT
 -ENS\, Paris)\nIn this talk\, I will consider the classical problem of lin
 ear statistics in random matrix theory. This amounts to study the distribu
 tion of the sum of a certain function of the matrix eigenvalues. Varying t
 his function\, this problem can describe fluctuations of conductance\, sho
 t noise\, Renyi entropy\, center of mass of interfaces\, particle number
 …\nThis problem has been extensively studied for the bulk of the eigenva
 lues (macroscopic linear statistics) where interesting phase transitions h
 ave been unveiled but not so much at the edge of the spectrum (microscopic
  linear statistics) on which I will focus.\nIn particular\, I will introdu
 ce four methods to solve this problem\, show their equivalence and I will 
 discuss the physical applications of these results (large deviations of th
 e solution of the Kardar-Parisi-Zhang equation\, existence of phase transi
 tions with continuously varying exponent and possible experimental realiza
 tion of this setup with non-intersecting Brownian interfaces).\nReference 
 :\n\n 	Alexandre Krajenbrink &amp\; Pierre Le Doussal\, Linear statistics 
 and pushed Coulomb gas at the edge of beta random matrices: four paths to 
 large deviations\,  preprint arXiv:1811.00509\n
CATEGORIES:seminars
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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