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Proceedings of the American Mathematical Society

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

 
 

 

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
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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).

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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

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