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 | 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.
- [1] Nathaniel A. Friedman, Introduction to ergodic theory, Van Nostrand Reinhold Co., New York-Toronto, Ont.-London, 1970. Van Nostrand Reinhold Mathematical Studies, No. 29. MR 0435350
- [2] John C. Oxtoby, Stepanoff flows on the torus, Proc. Amer. Math. Soc. 4 (1953), 982–987. MR 0060812, https://doi.org/10.1090/S0002-9939-1953-0060812-4
- [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
