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