THE SHANNON-MCMILLAN-BREIMAN THEOREM FOR A CLASS OF AMENABLE-GROUPS

被引：74
|
作者：
ORNSTEIN, D [1 ]
WEISS, B [1 ]
机构：
[1] HEBREW UNIV JERUSALEM,INST MATH,JERUSALEM,ISRAEL
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1983年 / 44卷 / 01期
关键词：
D O I：
10.1007/BF02763171
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：53 / 60
页数：8
相关论文
共 50 条
  • [41] COUNTEREXAMPLE TO PEREZS GENERALIZATION OF SHANNON-MCMILLAN THEOREM
    KIEFFER, JC
    ANNALS OF PROBABILITY, 1973, 1 (02): : 362 - 364
  • [42] The Shannon-McMillan Theorem for AF C*-systems
    Ogata, Yoshiko
    LETTERS IN MATHEMATICAL PHYSICS, 2013, 103 (12) : 1367 - 1376
  • [43] The Shannon-McMillan Theorem for AF C*-systems
    Yoshiko Ogata
    Letters in Mathematical Physics, 2013, 103 : 1367 - 1376
  • [44] The Shannon-McMillan theorem for doubly stochastic operators
    Frej, Bartosz
    Frej, Paulina
    NONLINEARITY, 2012, 25 (12) : 3453 - 3467
  • [45] On a theorem of Breiman and a class of random difference equations
    Denisov, Denis
    Zwart, Bert
    JOURNAL OF APPLIED PROBABILITY, 2007, 44 (04) : 1031 - 1046
  • [46] ACTIONS OF DISCRETE AMENABLE-GROUPS AND GROUPOIDS ON VONNEUMANN-ALGEBRAS
    SUTHERLAND, CE
    TAKESAKI, M
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1985, 21 (06) : 1087 - 1120
  • [47] OUTER CONJUGACY OF THE ACTIONS OF COUNTABLE AMENABLE-GROUPS ON A MEASURE SPACE
    BEZUGLYI, SI
    GOLODETS, VY
    MATHEMATICS OF THE USSR-IZVESTIYA, 1986, 50 (04): : 1 - 18
  • [48] HANKEL-MATRICES OVER RIGHT ORDERED AMENABLE-GROUPS
    EXEL, R
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1990, 33 (04): : 404 - 415
  • [49] A Roth theorem for amenable groups
    Bergelson, V
    McCutcheon, R
    Zhang, Q
    AMERICAN JOURNAL OF MATHEMATICS, 1997, 119 (06) : 1173 - 1211
  • [50] The Shannon-McMillan theorem for ergodic quantum lattice systems
    Igor Bjelaković
    Tyll Krüger
    Rainer Siegmund-Schultze
    Arleta Szkoła
    Inventiones mathematicae, 2004, 155 : 203 - 222
12345