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)

Journals Home Search My Subscriptions Subscribe
Previous issue | This issue | Most recent issue | All issues (1950–Present) | Next issue | Previous article | Articles in press | Recently published articles | Next article
Request Permissions
 
 

 

Topological mixing of higher degrees


Authors: Sue Goodman and Brian Marcus
Journal: Proc. Amer. Math. Soc. 72 (1978), 561-565
MSC: Primary 54H20
DOI: https://doi.org/10.1090/S0002-9939-1978-0509255-4
MathSciNet review: 509255
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We give examples of homeomorphisms which are topologically 1-mixing but not topologically 2-mixing. One is a subshift and the other is a diffeomorphism of the torus.

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

  • [1] N. Friedman, Introduction to ergodic theory, Van Nostrand, New York, 1970, pp. 65-66. MR 0435350 (55:8310)
  • [2] J. C. Oxtoby, Stepanoff flows on the torus, Proc. Amer. Math. Soc. 4 (1953), 982-987. MR 0060812 (15:730e)
  • [3] F. M. Dekking and M. Keane, Mixing properties of substitutions (preprint).

Similar Articles

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

Retrieve articles in all journals with MSC: 54H20

Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0509255-4
Keywords: Topological mixing, higher degrees, subshift, Stepanoff flow
Article copyright: © Copyright 1978 American Mathematical Society

American Mathematical Society