Spectral correlations: understanding oscillatory contributions

B. Mehlig, M. Wilkinson

Research output: Contribution to journalArticle

3 Citations (Scopus)

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

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spectral correlation
Nonlinear sigma Model
Random Matrix Theory
Spectral Function
matrix theory
Matrix Models
Random Matrices
Correlation Function
derivation

Keywords

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

Cite this

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Spectral correlations : understanding oscillatory contributions. / Mehlig, B.; Wilkinson, M.

In: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , Vol. 63, No. 4, 28.03.2001.

Research output: Contribution to journalArticle

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