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Symmetric function theory and unitary invariant ensembles

Abstract:

Representation theory and the theory of symmetric functions have played a central role in Random Matrix Theory in the computation of quantities such as joint moments of traces and joint moments of characteristic polynomials of matrices drawn from the Circular Unitary Ensemble and other Circular Ensembles related to the classical compact groups. The reason is that they enable the derivation of exact formulae, which then provide a route to calculating the large-matrix asymptotics of these quant...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1063/5.0048364

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Institution:
University of Oxford
Department:
MATHEMATICAL INSTITUTE
Sub department:
Mathematical Institute
Oxford college:
Queen's College
Role:
Author
ORCID:
0000-0003-0864-038X
Publisher:
AIP Publishing Publisher's website
Journal:
Journal of Mathematical Physics Journal website
Volume:
62
Issue:
9
Article number:
093512
Publication date:
2021-09-16
Acceptance date:
2021-08-14
DOI:
EISSN:
1089-7658
ISSN:
0022-2488
Language:
English
Keywords:
Pubs id:
1191039
Local pid:
pubs:1191039
Deposit date:
2021-08-15

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