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Spectral correlations: understanding oscillatory contributions

Mehlig, B. and Wilkinson, M. (2001). Spectral correlations: understanding oscillatory contributions. Physical Review E, 63(4) 045203.

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We give a different derivation of a relation obtained using a supersymmetric nonlinear sigma model by Andreev and Altshuler [Phys. Rev. Lett. 72, 902 (1995)], which connects smooth and oscillatory components of spectral correlation functions. We show that their result is not specific to the random matrix theory. Also, we show that despite an apparent contradiction, the results obtained using their formula are consistent with earlier perspectives on random matrix models.

Item Type: Journal Item
Copyright Holders: 2001 The American Physical Society
ISSN: 1539-3755
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetMax Planck Institute for the Physics of Complex Systems, Dresden
Not SetGR/L02302EPSRC (Engineering and Physical Sciences Research Council)
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 25379
Depositing User: Michael Wilkinson
Date Deposited: 07 Apr 2011 15:38
Last Modified: 07 Dec 2018 09:45
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