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SUMMARY:High-dimensional random landscapes and random matrices - Prof. Yan
  Fyodorov\, School of Mathematical Sciences\, Queen Mary University of Lon
 don\, UK
DTSTART:20140131T120000Z
DTEND:20140131T130000Z
UID:TALK50021@talks.cam.ac.uk
CONTACT:Dr. Judith B. Rommel
DESCRIPTION:ABSTRACT: Most of optimization problems can be formulated as s
 earch of the global minimum of a cost function \nwhich is convenient to th
 ink of as a landscape in configuration space. When landscapes are high-dim
 ensional and \nrandom the search is difficult and one would like to unders
 tand generic features cf such landscapes. \nSimple\, yet rich and non-triv
 ial models of random landscapes are provided by mean-field spin glasses an
 d related systems. \nI am going to present a picture of the "topology triv
 ialization transition" (in the sense of an abrupt reduction of the number 
 of stationary points and minima of the underlying energy landscape) which 
 takes place in the vicinity of the zero-temperature glass transition of p-
 spin spherical model of spin glasses. In particular\, I will emphasize the
  role of the "edge scaling" and the Tracy-Widom distribution of the larges
 t eigenvalues of random matrices for providing some universal features of 
 the above transition. Part of the results to be presented in the talk were
  obtained in recent joint works with Pierre Le Doussal and Celine Nadal. \
 n
LOCATION:Unilever Lecture Theatre\, Department of Chemistry
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