EQUIPARTITION OF THE EIGENFUNCTIONS OF QUANTIZED ERGODIC MAPS ON THE TORUS

Authors
BOUZOUINA A DEBIEVRE S
Citation
A. Bouzouina et S. Debievre, EQUIPARTITION OF THE EIGENFUNCTIONS OF QUANTIZED ERGODIC MAPS ON THE TORUS, Communications in Mathematical Physics, 178(1), 1996, pp. 83-105
Citations number
28
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
178
Issue
1
Year of publication
1996
Pages
83 - 105
Database
ISI
SICI code
0010-3616(1996)178:1<83:EOTEOQ>2.0.ZU;2-S
Abstract
We give a simple proof of the equipartition of the eigenfunctions of a class of quantized ergodic area-preserving maps on the torus. Example s are the irrational translations, the skew translations, the hyperbol ic automorphisms and some of their perturbations.