Israel Journal of Mathematics

, Volume 42, Issue 4, pp 343–352

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


  • Kyewon Koh Park
    • Department of mathematicsThe Ohio State University

DOI: 10.1007/BF02761416

Cite this article as:
Park, K.K. Israel J. Math. (1982) 42: 343. doi:10.1007/BF02761416


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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© The Weizmann Science Press of Israel 1982