Blower, Gordon and McCafferty, Andrew (2009) Discrete Tracy--Widom operators. Proceedings of the Edinburgh Mathematical Society, 52 (3). pp. 545-559.
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.
|Item Type: ||Article|
|Journal or Publication Title: ||Proceedings of the Edinburgh Mathematical Society|
|Additional Information: ||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.|
|Uncontrolled Keywords: ||Hankel operators ; random matrices|
|Subjects: ||Q Science > QA Mathematics|
|Departments: ||Faculty of Science and Technology > Mathematics and Statistics|
|ID Code: ||1788|
|Deposited By: ||Professor Gordon Blower|
|Deposited On: ||25 Feb 2008 08:51|
|Last Modified: ||07 Jan 2015 13:02|
|Identification Number: |
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