Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Zero entropy factors of topological flows

Authors: F. Blanchard and Y. Lacroix
Journal: Proc. Amer. Math. Soc. 119 (1993), 985-992
MSC: Primary 54H20; Secondary 28D20
MathSciNet review: 1155593
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The maximal zero entropy factor of a topological flow is defined using entropy pairs and explicitly given for some simple cartesian products. As a consequence, it is proved that only the trivial flow is disjoint from all flows whose maximal zero entropy factor is trivial.

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

  • [AKM] R. L. Adler, A. G. Konheim, and M. H. McAndrew, Topological entropy, Trans. Amer. Math. Soc. 114 (1965), 309-319. MR 0175106 (30:5291)
  • [Bl1] F. Blanchard, Full positive topological entropy and topological mixing, Symbolic Dynamics and Applications (in honor of R. L. Adler), Contemp. Math., Amer. Math. Soc., Providence, RI (to appear). MR 1185082 (93k:58134)
  • [Bl2] -, A disjointness theorem involving topological entropy, preprint, 1991.
  • [EG] R. Ellis and W. H. Gottschalk, Homomorphisms of transformation groups, Trans. Amer. Math. Soc. 94 (1960), 258-271. MR 0123635 (23:A960)
  • [F] H. Furstenberg, Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation, Math. Systems Theory 1 (1967), 1-49. MR 0213508 (35:4369)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54H20, 28D20

Retrieve articles in all journals with MSC: 54H20, 28D20

Additional Information

Keywords: Topological entropy, maximal zero entropy factor, disjointness
Article copyright: © Copyright 1993 American Mathematical Society

American Mathematical Society