Equipartition of the eigenfunctions of quantized ergodic maps on the torus

被引：105

作者：

Bouzouina, A ^{[1
]}

DeBievre, S ^{[1
]}

机构：

[1] UNIV PARIS 07,LAB PHYS THEOR & MATH,F-75251 PARIS,FRANCE

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1996年 / 178卷 / 01期

关键词：

D O I：

10.1007/BF02104909

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a simple proof of the equipartition of the eigenfunctions of a class of quantized ergodic area-preserving maps on the torus. Examples are the irrational translations, the skew translations, the hyperbolic automorphisms and some of their perturbations.

引用

页码：83 / 105

页数：23

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