Spectral correlations: understanding oscillatory contributions

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

DOI: https://doi.org/10.1103/PhysRevE.63.045203

Abstract

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.

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About

• Item ORO ID
• 25379
• Item Type
• Journal Item
• ISSN
• 1539-3755
• Project Funding Details

• Funded Project Name	Project ID	Funding Body
  Not Set	Not Set	Max Planck Institute for the Physics of Complex Systems, Dresden
  Not Set	GR/L02302	EPSRC (Engineering and Physical Sciences Research Council)

• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2001 The American Physical Society
• Depositing User
• Michael Wilkinson