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DTSTART:20190331T030000
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BEGIN:VEVENT
DTSTAMP:20220817T004950Z
UID:5d5130b4af136036400179@ist.ac.at
DTSTART:20190820T100000
DTEND:20190820T120000
DESCRIPTION:Speaker: Guillaume Dubach\nhosted by László Erdös\nAbstract:
Right and left eigenvectors of non-Hermitian matrices form a bi-orthogona
l system\, to which one can associate homogeneous quantities known as over
laps. The matrix of overlaps quantifies the stability of the spectrum\, an
d characterizes the joint eigenvalues increments under Dyson-type dynamics
. Overlaps first appeared in the physics literature: Chalker and Mehlig ca
lculated their conditional expectation for complex Ginibre matrices (1998)
. For the same model\, we extend their results by deriving the distributio
n of the overlaps and their correlations (joint work with P. Bourgade). Si
milar results hold for quaternionic Gaussian matrices\, as well as matrice
s from the spherical and truncated unitary ensembles.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:swiddman@ist.ac.at
SUMMARY:Guillaume Dubach: Eigenvectors of integrable models of non-Hermitia
n random matrices
URL:https://talks-calendar.app.ist.ac.at/events/2054
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