Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

An entropy equidistribution property for a measurable partition under the action of an amenable group


Author: J. C. Kieffer
Journal: Bull. Amer. Math. Soc. 81 (1975), 464-466
MSC (1970): Primary 60F99, 28A65; Secondary 43A07
DOI: https://doi.org/10.1090/S0002-9904-1975-13786-4
MathSciNet review: 0361003
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. J. Chatard, Applications des propriétés de moyenne d'un groupe localement compact à la théorie ergodique, Ann. Inst. H. Poincaré Sect. B 6 (1970), 307-326; erratum, ibid. 7 (1971), 81-82. MR 45 #7017. MR 297965
  • 2. J. P. Conze, Entropie d'un groupe abelian de tranformations, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 25 (1972), 11-30. MR 335754
  • 3. F. P. Greenleaf, Invariant means on topological groups and their applications, Van Nostrand Math. Studies, no. 16, Van Nostrand, New York, 1969. MR 40 #4776. MR 251549
  • 4. Y. Katznelson and B. Weiss, Commuting measure-preserving transformations, Israel J. Math 12 (1972), 161-173. MR 47 #5227. MR 316680
  • 5. A. A. Kirillov, Dynamical systems, factors and group representations, Uspehi Mat. Nauk 22 (1967), no. 5 (137), 67-80 = Russian Math. Surveys 22 (1967), 63-75. MR 36 #347. MR 217256
  • 6. D. Ornstein, Bernoulli shifts with the same entropy are isomorphic, Advances in Math. 4 (1970), 337-352. MR 41 #1973. MR 257322
  • 7. B. S. Pickel' and A. M. Stepin, The property of the entropy equidistribution of commutative groups of metric automorphisms, Dokl. Akad. Nauk SSSR 198 (1971), 1021-1024 = Soviet Math. Dokl. 12 (1971), 938-942. MR 46 #3750. MR 304615
  • 8. J. P. Thouvenot, Convergence en moyenne de l'information pour l'action de Z2, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 24 (1972), 135-137. MR 321612

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 60F99, 28A65, 43A07

Retrieve articles in all journals with MSC (1970): 60F99, 28A65, 43A07


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1975-13786-4

American Mathematical Society