Spectral correlations: understanding oscillatory contributions

B. Mehlig, M. Wilkinson

Research output: Contribution to journalArticle

4 Citations (Scopus)
28 Downloads (Pure)

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.
Original languageEnglish
Number of pages4
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume63
Issue number4
DOIs
Publication statusPublished - 28 Mar 2001

Keywords

  • matrix theory
  • spectral correlation
  • matrix models
  • sigma model
  • oscillatory contribution

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