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TZID:Europe/Paris
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BEGIN:VEVENT
UID:9108@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260623T143000
DTEND;TZID=Europe/Paris:20260623T153000
DTSTAMP:20260616T220126Z
URL:https://www.i2m.univ-amu.fr/evenements/orthogonal-polynomial-ensemble-
 and-their-deformations/
SUMMARY:Thomas CHOUTEAU (Universidade de São Paulo): Orthogonal Polynomial
  Ensemble and their deformations.
DESCRIPTION:Thomas CHOUTEAU: Orthogonal Polynomial Ensembles (OPEs) are an 
 important class of\ndeterminantal point processes arising naturally from f
 amilies of orthogonal\npolynomials. Their structure is encoded in their co
 rrelation functions\,\nwhich can be expressed in terms of the associated C
 hristoffel–Darboux\nkernel.\n\nIn this talk\, I will first introduce OPE
 s from a probabilistic perspective\nand explain how orthogonal polynomials
  naturally enter the picture.\nParticular interest will be placed on the r
 ole of the Christoffel–Darboux\nkernel and on classical connections with
  random matrix theory\, including\nuniversality phenomena in the large-par
 ticle limit.\n\nIn the second part of the talk\, I will discuss a class of
  deformations of\nOPEs that can be interpreted as a thinning of the underl
 ying point process.\nFocusing on a bulk critical scaling regime\, I will p
 resent recent joint\nwork with collaborators in Brazil showing how the lar
 ge-scale behavior of\nthe particles is governed by an integrable structure
  involving an\nintegro-differential Painlevé V equation.\n\nThis presenta
 tion is based on the paper *Deformations of Orthogonal\nPolynomial Ensembl
 es in a Bulk Critical Scaling* (*Nonlinearity*) and was\npartially support
 ed by FAPESP projects 23/10533-8 and 25/06240-0.
CATEGORIES:Séminaire,ALEA,Probabilités
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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TZID:Europe/Paris
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DTSTART:20260329T030000
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