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TZID:Europe/Vienna
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DTSTART:20210328T030000
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DTSTAMP:20260406T092139Z
UID:1634220900@ist.ac.at
DTSTART:20211014T161500
DTEND:20211014T171500
DESCRIPTION:Speaker: Hong Chang Ji\nhosted by Laszlo Erdös\nAbstract: In t
 his talk\, we will discuss edge universality for the sum of two independen
 t\, unitarily invariant\, Hermitian random matrices of size N with determi
 nistic eigenvalues. To be specific\, we will prove that the fluctuations o
 f the largest eigenvalue for such an ensemble asymptotically follow the GU
 E Tracy-Widom distribution when N tends to infinity\, under some assumptio
 ns on the eigenvalues of summands ensuring that the density of states deca
 ys as square root. Firstly\, we will focus on describing its limiting eige
 nvalue distribution and explaining connections to free probability. Next w
 e will briefly discuss the proof\, which mainly concerns entrywise local l
 aws and Green function comparison applied to the Dyson matrix flow with t
 ime scale N^{-1/3} along with free probabilistic analysis of its determin
 istic equivalent. This talk is based on a joint work with Jaewhi Park.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Hong Chang Ji: Tracy-Widom limit for free sum of random matrices
URL:https://talks-calendar.ista.ac.at/events/3334
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