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SUMMARY:Martin Vogel (Université de Strasbourg)
DTSTART:20210413T150000Z
DTEND:20210413T160000Z
DTSTAMP:20260423T035739Z
UID:POSemP/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POSemP/2/">E
 igenvalue asymptotics and eigenvector localization for non-Hermitian noisy
  Toeplitz matrices</a>\nby Martin Vogel (Université de Strasbourg) as par
 t of Pisa Online Seminar in Probability\n\n\nAbstract\nA most notable char
 acteristic of non-Hermitian matrices is that their spectra can be intrinsi
 cally sensitive to tiny perturbation. Although this spectral instability c
 auses the numerical analysis of their spectra to be extremely unreliable\,
  it has recently been shown to be also the source of new mathematical phen
 omena. I will present recent results about the eigenvalues asymptotics and
  eigenvector localization for deterministic non-Hermitian Toeplitz matrice
 s with small additive random perturbations. These results are related to r
 ecent developments in the theory of partial differential equations. The ta
 lk is based on joint work with J. Sjöstrand\, and with A. Basak and O. Ze
 itouni.\n
LOCATION:https://researchseminars.org/talk/POSemP/2/
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