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Matrix Models and Eigenvalue Statistics for Truncations of Classical Ensembles of Random Unitary Matrices
Univ Calif Los Angeles, Dept Math, Box 951555, Los Angeles, CA 90095 USA..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2017 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 349, no 3, 991-1027 p.Article in journal (Refereed) Published
Abstract [en]

We consider random non-normal matrices constructed by removing one row and column from samples from Dyson's circular ensembles or samples from the classical compact groups. We develop sparse matrix models whose spectral measures match these ensembles. This allows us to compute the joint law of the eigenvalues, which have a natural interpretation as resonances for open quantum systems or as electrostatic charges located in a dielectric medium. Our methods allow us to consider all values of , not merely .

Place, publisher, year, edition, pages
2017. Vol. 349, no 3, 991-1027 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-317955DOI: 10.1007/s00220-016-2658-zISI: 000393696700006OAI: oai:DiVA.org:uu-317955DiVA: diva2:1086276
Available from: 2017-03-31 Created: 2017-03-31 Last updated: 2017-03-31Bibliographically approved

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Kozhan, Rostyslav
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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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