BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//7.4.5//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:9263@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20261103T143000
DTEND;TZID=Europe/Paris:20261103T153000
DTSTAMP:20261002T120919Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-310/
SUMMARY:Oleksii Kolupaiev (ISTA\, Vienne): Beyond local laws: expectation a
 nd decorrelation
DESCRIPTION:Oleksii Kolupaiev: Let $W=W^*$ be a large random matrix. For a 
 broad range of ensembles it is known that the resolvent $G(z):=(W-z)^{-1}$
  concentrates around a deterministic quantity as long as $|\\Im z|$ is lar
 ger than the local eigenvalue spacing of $W$. This is the so-called single
 -resolvent local law. Multi-resolvent local laws extend this framework by 
 showing that products of several resolvents also concentrate. In this talk
 \, I will discuss two phenomena that provide additional information beyond
  the standard local laws: decorrelation in energy space and gains from tak
 ing expectations. I will also present several recent applications of these
  results\, which would not be accessible via standard local laws. These ap
 plications include non-Gaussian corrections to fluctuations in local laws\
 , law of fractional logarithm for Wigner minor process and hyperuniformity
  of eigenvalues of non-Hermitian random matrices. The talk is based on sev
 eral recent joint works with Z. Bao\, G. Cipolloni\, L. Erdös and J. Henh
 eik.
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
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:STANDARD
DTSTART:20261025T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
END:STANDARD
END:VTIMEZONE
END:VCALENDAR