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Discrete Tracy--Widom operators.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Discrete Tracy--Widom operators. / Blower, Gordon; McCafferty, Andrew.
In: Proceedings of the Edinburgh Mathematical Society, Vol. 52, No. 3, 10.2009, p. 545-559.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Blower, G & McCafferty, A 2009, 'Discrete Tracy--Widom operators.', Proceedings of the Edinburgh Mathematical Society, vol. 52, no. 3, pp. 545-559. https://doi.org/10.1017/S001309150700140X

APA

Blower, G., & McCafferty, A. (2009). Discrete Tracy--Widom operators. Proceedings of the Edinburgh Mathematical Society, 52(3), 545-559. https://doi.org/10.1017/S001309150700140X

Vancouver

Blower G, McCafferty A. Discrete Tracy--Widom operators. Proceedings of the Edinburgh Mathematical Society. 2009 Oct;52(3):545-559. doi: 10.1017/S001309150700140X

Author

Blower, Gordon ; McCafferty, Andrew. / Discrete Tracy--Widom operators. In: Proceedings of the Edinburgh Mathematical Society. 2009 ; Vol. 52, No. 3. pp. 545-559.

Bibtex

@article{7a6d9032f0e2480081b3a9aa7653413d,
title = "Discrete Tracy--Widom operators.",
abstract = "Integrable 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 equatio and the Fourier transform of Mathieu's equation.",
keywords = "Hankel operators, random matrices",
author = "Gordon Blower and Andrew McCafferty",
note = "AMS 2000 classification: 47B35 http://journals.cambridge.org/action/displayJournal?jid=PEM The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society, 52 (3), pp 545-559 2009, {\textcopyright} 2009 Cambridge University Press.",
year = "2009",
month = oct,
doi = "10.1017/S001309150700140X",
language = "English",
volume = "52",
pages = "545--559",
journal = "Proceedings of the Edinburgh Mathematical Society",
issn = "1464-3839",
publisher = "Cambridge University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Discrete Tracy--Widom operators.

AU - Blower, Gordon

AU - McCafferty, Andrew

N1 - AMS 2000 classification: 47B35 http://journals.cambridge.org/action/displayJournal?jid=PEM The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society, 52 (3), pp 545-559 2009, © 2009 Cambridge University Press.

PY - 2009/10

Y1 - 2009/10

N2 - Integrable 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 equatio and the Fourier transform of Mathieu's equation.

AB - Integrable 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 equatio and the Fourier transform of Mathieu's equation.

KW - Hankel operators

KW - random matrices

U2 - 10.1017/S001309150700140X

DO - 10.1017/S001309150700140X

M3 - Journal article

VL - 52

SP - 545

EP - 559

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 1464-3839

IS - 3

ER -