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SUMMARY:Spectral statistics of Bernoulli matrix ensembles - a random walk 
 approach - Joyner\, C (Queen Mary\, University of London)
DTSTART:20150324T150000Z
DTEND:20150324T160000Z
UID:TALK58543@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-author: Uzy Smilansky (Weizmann Institute of Science) \n\nW
 e investigate the eigenvalue statistics of random Bernoulli matrices\, whe
 re the matrix elements are chosen independently from a binary set with equ
 al probability. This is achieved by initiating a discrete random walk proc
 ess over the space of matrices and analysing the induced random motion of 
 the eigenvalues - an approach which is similar to Dyson's Brownian motion 
 model but with important modifications. In particular\, we show our proces
 s is described by a Fokker-Planck equation\, up to an error margin which v
 anishes in the limit of large matrix dimension. The stationary solution of
  which corresponds to the joint probability density function of certain we
 ll-known fixed trace Gaussian ensembles.\n
LOCATION:Seminar Room 1\, Newton Institute
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