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UID:6940@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20191018T110000
DTEND;TZID=Europe/Paris:20191018T120000
DTSTAMP:20241120T202631Z
URL:https://www.i2m.univ-amu.fr/evenements/the-stochastic-airy-operator-at
 -large-temperature-laure-dumaz/
SUMMARY:Laure Dumaz  (CEREMADE\, Université Paris-Dauphine): The stochasti
 c Airy operator at large temperature - Laure Dumaz
DESCRIPTION:Laure Dumaz : It was shown in [J. A. Ramírez\, B. Rider and B.
  Virág. J. Amer. Math. Soc. 24\, 919-944 (2011)] that the edge of the spe
 ctrum of β ensembles converges in the large N limit to the bottom of the 
 spectrum of the stochastic Airy operator. In the present paper\, we obtain
  a complete description of the bottom of this spectrum when the temperatur
 e 1/β goes to ∞: we show that the point process of appropriately rescal
 ed eigenvalues converges to a Poisson point process on ℝ of intensity ex
 dx and that the eigenfunctions converge to Dirac masses centered at IID po
 ints with exponential laws. Furthermore\, we obtain a precise description 
 of the microscopic behavior of the eigenfunctions near their localization 
 centers.\n\n[su_spacer size="10"]\n\nhttps://arxiv.org/abs/1908.11273\n\n[
 su_spacer size="10"]
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Laure_Dumaz.jpg
CATEGORIES:Séminaire,Probabilités
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DTSTART:20190331T030000
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