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TZID:Europe/Vienna
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DTSTART:20200329T030000
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DTSTART:20191027T020000
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BEGIN:VEVENT
DTSTAMP:20260406T041151Z
UID:1573576200@ist.ac.at
DTSTART:20191112T173000
DTEND:20191112T183000
DESCRIPTION:Speaker: Martin Vogel\nhosted by M. Beiglboeck\, N. Berestycki\
 , L. Erdoes\, J. Maas\nAbstract: The spectrum of linear non-selfadjoint op
 erators can be very unstable that is sensitive to even small perturbations
 . This phenomenon is referred to as "pseudospectral effect". Traditionally
  this pseudospectral effect was considered a drawback since it can be the 
 source of immense numerical errors\, as shown for instance in the works  
 of L. N. Trefethen. This pseudospectral effect can\, however\, also be the
  source of many new insights. A line of works by Hager\, Bordeaux-Montrieu
 x\, Sjöstrand\, Christiansen and Zworski exploits the pseudospectral effe
 ct to show that the (discrete) spectrum of a large class of non-selfadjoin
 t pseudo-differential operators subject to a small random perturbation fol
 lows a Weyl law with probability close to one. In this talk we will discus
 s the local statistics of the eigenvalues of such operators (in dimension 
 one). That is the distribution of the eigenvalues on the scale of their av
 erage spacing. We will show that the pseudospectral effect leads to a part
 ial form of universality of the local statistics of the eigenvalues. This 
 is joint work with Stéphane Nonnenmacher (Université Paris-Sud).
LOCATION:SR 14\, 2 OG.\, OMP 1\, University of Vienna\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Martin Vogel: Spectrum of non-selfadjoint operators with small rand
 om noise
URL:https://talks-calendar.ista.ac.at/events/2387
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