Topological mixing of higher degrees

Goodman, Sue; Marcus, Brian

doi:10.1090/S0002-9939-1978-0509255-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Topological mixing of higher degrees
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by Sue Goodman and Brian Marcus PDF

Proc. Amer. Math. Soc. 72 (1978), 561-565 Request permission

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

Nathaniel A. Friedman, Introduction to ergodic theory, Van Nostrand Reinhold Mathematical Studies, No. 29, Van Nostrand Reinhold Co., New York-Toronto, Ont.-London, 1970. MR 0435350
John C. Oxtoby, Stepanoff flows on the torus, Proc. Amer. Math. Soc. 4 (1953), 982–987. MR 60812, DOI 10.1090/S0002-9939-1953-0060812-4

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