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SUMMARY:Critical properties of the long-range random models - Ossipov\, A 
 (University of Nottingham)
DTSTART:20120918T160000Z
DTEND:20120918T164000Z
UID:TALK39849@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In this talk we consider random matrix ensembles and non-linea
 r sigma models characterized by a long-range random hopping. At criticalit
 y\, eigenstates of such systems are multifractal and the corresponding mul
 tifractal dimensions can be calculated analytically in the limit of strong
  or weak multifractality. Using explicit results for the multifractal dime
 nsions and the level number variance\, we discuss critical properties of v
 arious models. Among them are universal and non-universal features of the 
 multifractality spectrum and unusual critical behavior of the two-dimensio
 nal power-law random matrix model.\n
LOCATION:Seminar Room 1\, Newton Institute
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