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DTSTART:20180325T030000
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DTSTART:20171029T020000
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BEGIN:VEVENT
DTSTAMP:20260308T212805Z
UID:59c8cedc49962340585261@ist.ac.at
DTSTART:20180123T160000
DTEND:20180123T180000
DESCRIPTION:Speaker: Peter Mühlbacher\nhosted by Laszlo Erdös\nAbstract: 
 We consider a Wigner-type ensemble\, i.e. large hermitian $N\\times N$ ran
 dom matrices $H=H^*$ with centered independent entries and with a general 
 matrix of variances $S_xy=\\mathbb E|H_xy|^2$. The norm of $H$ is asymptot
 ically given by the maximum of the support of the self-consistent density 
 of states. We establish a bound on this maximum in terms of norms of power
 s of $S$ that substantially improves the earlier bound $2\\| S\\|^1/2_\\in
 fty$. The key element of the proof is an effective Markov chain approximat
 ion for the contributions of the weighted Dyck paths appearing in the iter
 ative solution of the corresponding Dyson equation.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Peter Mühlbacher: Bounds on the Norm of Wigner-type Random Matrice
 s
URL:https://talks-calendar.ista.ac.at/events/1040
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