There are introduced the concepts of deterministic, exact and Kolmogorov flows which are topological analogues of the well known measure-theoretic dynamical systems with the same names. It is shown that all distal flows are deterministic and that the only deterministic subshifts are those with a finite phase space. Deterministic flows have zero entropy. The class of Kolmogorov flows contains flows acting on zero-dimensional phase spaces being measure-theoretic Kolmogorov systems with respect to measures with full supports. All minimal Kolmogorov flows are weakly mixing.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.