24. Okt 2019

Almost sure Weyl asymptotics for non-selfadjoint Toeplitz operators

Datum: 24. Oktober 2019 | 16:00 – 18:00
Sprecher: Martin Vogel, IST Austria
Veranstaltungsort: Heinzel Seminar Room / Office Bldg West (I21.EG.101)

The spectra of nonselfadjoint linear operators can be very unstable and sensitive to small perturbations. This phenomenon is usually referred to as “pseudospectral effect”. To explore this spectral instability we study the spectra of small random perturbations of non-selfadjoint operators in the case of Toeplitz matrices and in the case of the Toeplitz quantization of complex-valued functions on the torus. We show that almost surely the eigenvalues follow a Weyl law. (Partly based on joint work with J. Sjstrand)

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Datum:
24. Oktober 2019
16:00 – 18:00

Sprecher:
Martin Vogel, IST Austria

Veranstaltungsort:
Heinzel Seminar Room / Office Bldg West (I21.EG.101)

Ansprechpartner:

OOSTHUIZEN-NOCZIL Birgit

Email:
boosthui@ist.ac.at

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