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A special family of ergodic flows and their\(\bar d - limits\)

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Abstract

A flow built under a step function with a multi-step Markov partition on the base is a direct product of a Bernoulli flow with a finite rotation. A\(\bar d - limit\) of the flows in this family cannot have two irrationally related rotation factors.\(\bar d - closure\) of this family is shown to consist of all direct products of Bernoulli flows and flows of rational pure point spectrum with respect to some number.

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Authors and Affiliations

  1. Department of mathematics, The Ohio State University, 43210, Columbus, OH, USA

    Kyewon Koh Park

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  1. Kyewon Koh Park
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Park, K.K. A special family of ergodic flows and their\(\bar d - limits\) . Israel J. Math. 42, 343–352 (1982). https://doi.org/10.1007/BF02761416

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  • DOI: https://doi.org/10.1007/BF02761416

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