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TZID:Europe/Vienna
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DTSTART:20200329T030000
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DTSTART:20191027T020000
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DTSTAMP:20200125T183040Z
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\, IST Austria
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Spectrum of non-selfadjoint operators with small random noise
URL:https://talks-calendar.app.ist.ac.at/events/2387
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