the invitation

Invitation to Seminar Talk
Spectral statistics of non-selfadjoint operators
subject to small random perturbations
Martin Vogel
Université Paris-Sud
Host: Laszlo Erdös
It is well know that the spectrum of a non-normal operator can be very sensitive to even tiny
perturbations. Recent works by Hager, Sjöstrand, Bordeaux-Montrieux, Zworski and Christiansen
consider the case of non-selfadjoint elliptic pseudo-differential operators in the semiclassical or high
energy limit subject to small random perturbations and show that the eigenvalues follow a
probabilistic Weyl law. We are going to discuss recent developments, obtained in collaboration with
Stéphane Nonnenmacher, concerning the spectral statistics of these eigenvalues. In particular we
will be interested in the correlation functions of these eigenvalues and their sensitivity to the type
of random perturbation.
Monday, September 19, 2016, 10:00am
Seminar Room Mondi 1, Central Building, 1st floor
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