Sobolev, AV;
(2019)
On Szeg Formulas for Truncated Wiener-Hopf Operators.
Integral Equations and Operator Theory
, 91
, Article 1. 10.1007/s00020-018-2500-4.
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Abstract
We consider functions of multi-dimensional versions of truncated Wiener–Hopf operators with smooth symbols, and study the scaling asymptotics of their traces. The obtained results extend the asymptotic formulas obtained by H. Widom in the 1980’s to non-smooth functions, and non-smooth truncation domains. The obtained asymptotic formulas are used to analyse the scaling limit of the spatially bipartite entanglement entropy of thermal equilibrium states of noninteracting fermions at positive temperature.
| Type: | Article |
|---|---|
| Title: | On Szeg Formulas for Truncated Wiener-Hopf Operators |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00020-018-2500-4 |
| Publisher version: | https://doi.org/10.1007/s00020-018-2500-4 |
| Language: | English |
| Additional information: | This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| Keywords: | Non-smooth functions of Wiener–Hopf operators, Asymptotic trace formulas, Entanglement entropy. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10069630 |
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