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SUMMARY:Probabilistic Weyl law for twisted Toeplitz matrices with rough sy
 mbols
DTSTART:20261124T085000Z
DTEND:20261124T095000Z
DTSTAMP:20261115T162700Z
UID:indico-event-16903@indico.math.cnrs.fr
DESCRIPTION:Speakers: Lucas Noël (IRMA)\n\nToeplitz matrices represent a 
 wide range of non-selfadjoint matrices that have been widely studied in th
 e past. These matrices are associated with functions\, which are called sy
 mbols. Although having a particular structure\, their lack of self-adjoint
 ness causes a strong spectral instability. Under some assumptions\, the ad
 dition of random noise gives a "regularization of the spectrum"\, i.e.\, a
 n equidistribution of the eigenvalues of the perturbed matrix in the numer
 ical range of its symbol. In this talk\, I will give a generalized constru
 ction of Toeplitz matrices associated with rough symbols (especially by th
 e presence of jumps)\, and for which this phenomenon still holds. The anal
 ysis of the spectrum of these matrices will be done through their empirica
 l spectral measure\, and their study is based on semiclassical analysis to
 ols.\n\nhttps://indico.math.cnrs.fr/event/16903/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/16903/
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