Mixed moments of characteristic polynomials of random unitary matrices editors-pick

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dc.contributor.authorBailey, E. C.
dc.contributor.authorBettin, S.
dc.contributor.authorBlower, G.
dc.contributor.authorConrey, J. B.
dc.contributor.authorProkhorov, A.
dc.contributor.authorRubinstein, M. O.
dc.contributor.authorSnaith, N. C.
dc.contributor.departmentMathematical Sciences, School of Scienceen_US
dc.date.accessioned2020-02-25T20:06:54Z
dc.date.available2020-02-25T20:06:54Z
dc.date.issued2019
dc.description.abstractFollowing the work of Conrey, Rubinstein, and Snaith [Commun. Math. Phys. 267, 611 (2006)] and Forrester and Witte [J. Phys. A: Math. Gen. 39, 8983 (2006)], we examine a mixed moment of the characteristic polynomial and its derivative for matrices from the unitary group U(N) (also known as the CUE) and relate the moment to the solution of a Painlevé differential equation. We also calculate a simple form for the asymptotic behavior of moments of logarithmic derivatives of these characteristic polynomials evaluated near the unit circle.en_US
dc.eprint.versionAuthor's manuscripten_US
dc.identifier.citationBailey, E. C., Bettin, S., Blower, G., Conrey, J. B., Prokhorov, A., Rubinstein, M. O., & Snaith, N. C. (2019). Mixed moments of characteristic polynomials of random unitary matrices. Journal of Mathematical Physics, 60(8), 083509. https://doi.org/10.1063/1.5092780en_US
dc.identifier.urihttps://hdl.handle.net/1805/22152
dc.language.isoenen_US
dc.publisherAIPen_US
dc.relation.isversionof10.1063/1.5092780en_US
dc.relation.journalJournal of Mathematical Physicsen_US
dc.rightsPublisher Policyen_US
dc.sourceArXiven_US
dc.subjectmixed momenten_US
dc.subjectcharacteristic polynomialen_US
dc.subjectrandom unitary matricesen_US
dc.titleMixed moments of characteristic polynomials of random unitary matrices editors-picken_US
dc.typeArticleen_US
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