Models of intermediate spectral statistics

E. B. Bogomolny, U. Gerland, C. Schmit

Research output: Contribution to journalArticlepeer-review

242 Scopus citations

Abstract

Based on numerical results it is conjectured that the spectral statistics of certain pseudointegrable billiards have a special form similar to that of the Anderson model at the transition point. A simple theoretical model where such statistics can be obtained analytically is briefly discussed. A few models with similar behavior are considered. In particular, we analytically found the eigenvalue statistics of a Poisson-distributed matrix perturbed by a rank one matrix, which is a good model for spectral statistics of a singular billiard.

Original languageEnglish
Pages (from-to)R1315-R1318
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume59
Issue number2
DOIs
StatePublished - 1999
Externally publishedYes

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