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
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
收藏
页码:1085 / 1087
页数:3
相关论文
共 50 条
  • [21] LIMIT OF ERGODICITY IN DIPOLAR GLASSES
    TORRE, S
    PHYSICAL REVIEW B, 1987, 36 (01): : 803 - 805
  • [22] The central limit theorem and ergodicity
    Niu, Yingxuan
    Wang, Yi
    STATISTICS & PROBABILITY LETTERS, 2010, 80 (15-16) : 1180 - 1184
  • [23] Ergodicity and scars of the quantum cat map in the semiclassical regime
    Wang, J
    Lai, CH
    Gu, Y
    PHYSICAL REVIEW E, 2001, 63 (05): : 562081 - 5620812
  • [24] SEMICLASSICAL WIGNER FUNCTIONS FOR QUANTUM MAPS ON A TORUS
    AGAM, O
    BRENNER, N
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (05): : 1345 - 1360
  • [25] Semiclassical torus blocks in the t-channel
    Cabezas, Juan Ramos
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (08)
  • [26] Semiclassical torus blocks in the t-channel
    Juan Ramos Cabezas
    Journal of High Energy Physics, 2020
  • [27] Semiclassical Wigner functions of quantum maps on a torus
    Agam, O.
    Brenner, N.
    Journal of Coal Quality, 1994, 13 (01):
  • [28] Various semiclassical limits of torus conformal blocks
    Alkalaev, Konstantin
    Geiko, Roman
    Rappoport, Vladimir
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (04):
  • [29] Various semiclassical limits of torus conformal blocks
    Konstantin Alkalaev
    Roman Geiko
    Vladimir Rappoport
    Journal of High Energy Physics, 2017
  • [30] LIMIT OF ERGODICITY IN DIPOLAR GLASSES - REPLY
    HOCHLI, UT
    MAGLIONE, M
    KOFEL, P
    PHYSICAL REVIEW B, 1987, 36 (01): : 806 - 806