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SUMMARY:Kristina Schubert (University of Muenster) : Wigner's semi-circle
law for random matrices with dependent entries
DTSTART;VALUE=DATE-TIME:20170406T130000Z
DTEND;VALUE=DATE-TIME:20170406T150000Z
DTSTAMP;VALUE=DATE-TIME:20180222T204239Z
UID:indico-event-2580@cern.ch
DESCRIPTION:Abstract:\n\nWigner's semi-circle law states that the spectral
distribution of random matrices with independent entries converges to the
semi-circle distribution. Since its original version\, proved by Wigner in
the 1950s\, there have been a number of generalization of this statement
for various random matrix ensembles. We review some more recent results
about the validity of this law for\nmatrices with dependent entries. In
particular\, we consider matrices\, where the matrix entries are given by
a stochastic process with decaying correlations. In this case\, the way we
fill the stochastic process into the matrix\, determines whether the
limiting spectral distribution is the \nsemi-circle or
not.\n\nhttp://agenda.irmp.ucl.ac.be/conferenceDisplay.py?confId=2580
LOCATION:MdeHemptinne CYCL09B
URL:http://agenda.irmp.ucl.ac.be/conferenceDisplay.py?confId=2580
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