Discrete Tracy-Widom Operators

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dc.creatorBlower, G.
dc.creatorMcCafferty, A. J.
dc.date2008-06-30
dc.date.accessioned2026-07-07T09:47:29Z
dc.date.available2026-07-07T09:47:29Z
dc.descriptionIntegrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles. This paper considers discrete Tracy-Widom operators, and gives sufficient conditions for a discrete integrable operator to be the square of a Hankel matrix. Examples include the discrete Bessel kernel and kernels arising from the almost Mathieu equation and the Fourier transform of Mathieu's equation.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0806.4919
dc.identifierhttp://arxiv.org/abs/0806.4919
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163897
dc.subjectFunctional Analysis
dc.subject47B35
dc.titleDiscrete Tracy-Widom Operators
dc.typetext

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