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SUMMARY:Olivier Giraud (Université Paris Saclay)
DTSTART:20210507T123000Z
DTEND:20210507T133000Z
DTSTAMP:20260423T005739Z
UID:MEGA/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MEGA/26/">Sp
 ectral properties of structured random matrices</a>\nby Olivier Giraud (Un
 iversité Paris Saclay) as part of Séminaire MEGA\n\n\nAbstract\nMotivate
 d by the problem of metal-insulator transition in the Anderson model of co
 ndensed matter physics\, I will discuss some spectral properties of Hermit
 ian Toeplitz\, Hankel\, and Toeplitz-plus-Hankel random matrices with inde
 pendent identically distributed entries. Spectral statistics of all these 
 random matrices turns out to be of intermediate type\, as found for instan
 ce at the metal-insulator transition\, or in certain pseudo-integrable bil
 liards. Namely\, nearest-neighbor spacing distributions are characterized 
 by level repulsion at small distances and an exponential decrease at large
  distances\, while the spectral compressibility has a non-trivial value. S
 uch statistics are usually associated with multifractal eigenstates\, and 
 I will show that it is also the case here.\n
LOCATION:https://researchseminars.org/talk/MEGA/26/
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