Intermediate statistics in quantum maps

O Giraud, J Marklof, SC O'Keefe

Research output: Contribution to journalArticle (Academic Journal)peer-review

28 Citations (Scopus)


We present a one-parameter family of quantum maps whose spectral statistics are of the same intermediate type as observed in polygonal quantum billiards. Our central result is the evaluation of the spectral two-point correlation form factor at small argument, which in turn yields the asymptotic level compressibility for macroscopic correlation lengths.
Translated title of the contributionIntermediate statistics in quantum maps
Original languageEnglish
Pages (from-to)L303 - L311
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume37 (38)
Publication statusPublished - Jul 2004

Bibliographical note

Publisher: IOP Publishing Ltd
Other identifier: IDS Number: 842PT

Fingerprint Dive into the research topics of 'Intermediate statistics in quantum maps'. Together they form a unique fingerprint.

Cite this