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SUMMARY:Statistical mechanics approach to the random matrix models - Shche
 rbina\, M (Institute for Low Temperatures\, Kharkov)
DTSTART:20120921T083000Z
DTEND:20120921T091000Z
UID:TALK39976@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider hermitian\, real symmetric and symplectic matrix m
 odels with real analytic potentials and present some analogue of the mean-
 field approximation method to study their partition functions in the multi
 -cut regime. Then we discuss recent results on the asymptotic behavior of 
 the characteristic functional of linear eigenvalue statistics\, obtained b
 y this method\, in particular\, non gaussian behavior of the characteristi
 c functional in the multi-cut regime. The applications to the proof of the
  universality conjecture for real symmetric and symplectic matrix models w
 ill be also discussed.
LOCATION:Seminar Room 1\, Newton Institute
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