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DTSTART:20200329T030000
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DTSTAMP:20260405T192545Z
UID:1601998200@ist.ac.at
DTSTART:20201006T173000
DTEND:20201006T181500
DESCRIPTION:Speaker: Guillaume Dubach\nhosted by M. Beiglböck\, N. Beresty
 cki\, L. Erdös\, J. Maas\, F. Toninelli\nAbstract: Right and left eigenve
 ctors of non-Hermitian matrices form a bi-orthogonal system to which one c
 an associate homogeneous quantities known as overlaps. The matrix of overl
 aps quantifies the stability of the spectrum\; for instance\, it character
 izes the joint eigenvalues increments under Dyson-type dynamics. Overlaps 
 first appeared in the physics literature: Chalker and Mehlig calculated th
 eir conditional expectation for complex Ginibre matrices (1998). For the s
 ame model\, we extend their results by deriving the distribution of the ov
 erlaps and their correlations (joint work with P. Bourgade). Similar resul
 ts have been obtained in other integrable settings\, namely quaternionic G
 aussian matrices\, as well as matrices from the spherical and truncated un
 itary ensembles.
LOCATION:TU Wien - EI 3 Sahulka HS\, Gußhausstraße 25-29 (2nd floor)\, IS
 TA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Guillaume Dubach: Overlaps between eigenvectors of non-Hermitian ra
 ndom matrices
URL:https://talks-calendar.ista.ac.at/events/2872
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