ERGODICITY AND THE SEMICLASSICAL LIMIT ON THE TORUS

被引：0

作者：

BOUZOUINA, A ^{[1
]}

DEBIEVRE, S ^{[1
]}

机构：

[1] UNIV PARIS 07,UFR MATH,F-75251 PARIS 05,FRANCE

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1995年 / 321卷 / 08期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：1085 / 1087

页数：3

共 50 条

[1] ERGODICITY AND SEMICLASSICAL LIMITS
HELFFER, B
MARTINEZ, A
ROBERT, D
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 109 (02) : 313 - 326
[2] THE SEMICLASSICAL LIMIT FOR SU(2) AND SO(3) GAUGE-THEORY ON THE TORUS
SENGUPTA, A
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 169 (02) : 297 - 313
[3] STRICT ERGODICITY AND TRANSFORMATION OF TORUS
FURSTENBERG, H
AMERICAN JOURNAL OF MATHEMATICS, 1961, 83 (04) : 573 - &
[4] Ergodicity and Annular Homeomorphisms of the Torus
Bortolatto, Renato B.
Tal, Fabio A.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2013, 12 (02) : 377 - 391
[5] Ergodicity and Annular Homeomorphisms of the Torus
Renato B. Bortolatto
Fabio A. Tal
Qualitative Theory of Dynamical Systems, 2013, 12 : 377 - 391
[6] On Quantum Ergodicity for Linear Maps of the Torus
Pär Kurlberg
Zeév Rudnick
Communications in Mathematical Physics, 2001, 222 : 201 - 227
[7] Quantum unique ergodicity for maps on the torus
Rosenzweig, L
ANNALES HENRI POINCARE, 2006, 7 (03): : 447 - 469
[8] Quantum Unique Ergodicity for Maps on the Torus
Lior Rosenzweig
Annales Henri Poincaré, 2006, 7 : 447 - 469
[9] Unique ergodicity of dynamic systems on the torus
Le, J
Zhou, ZL
CHINESE SCIENCE BULLETIN, 1996, 41 (19): : 1594 - 1597
[10] Unique ergodicity of dynamic systems on the torus
乐军
周作领
Chinese Science Bulletin, 1996, (19) : 1594 - 1597

← 1 2 3 4 5 →