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DTSTART:20190331T030000
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DTSTART:20181028T020000
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DTSTAMP:20260404T004603Z
UID:59c8cf07a26f8110836178@ist.ac.at
DTSTART:20181108T160000
DTEND:20181108T180000
DESCRIPTION:Speaker: Bernhard Pfirsch\nhosted by Robert Seiringer\nAbstract
 : Szeg's limit theorem describes the asymptotic behaviour of Toeplitz dete
 rminants as the size of the Toeplitz matrix grows. The continuous analogue
  are trace asymptotics for Wiener-Hopf operators on intervals of growing l
 ength. These asymptotics are of particular interest when the symbol of the
  Wiener-Hopf operator has jump discontinuities: they can be used to comput
 e the bipartite entanglement entropy of a free Fermi gas in its ground sta
 te. We look at the case that the corresponding one-particle Hamiltonian is
  a periodic Schrdinger operator (rather than the unperturbed Laplacian). I
 n this context\, we present a two-term asymptotic trace formula for the pe
 riodic Schrdinger operator in dimension 1. The subleading order of the asy
 mptotics identifies the spectrum of the periodic Schrdinger operator. This
  is joint work with Alexander V. Sobolev.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Bernhard Pfirsch: Formulas of Szegő's type for the periodic Schrö
 dinger operator
URL:https://talks-calendar.ista.ac.at/events/1560
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