The determinism and the Kolmogorov property in topological dynamics

• Autorzy: Kamiński B. , Siemaszko A. , Szymański J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

deterministic flow; exact flow; K-flows

PL

przepływ deterministyczny; przepływ dokładny; K-przepływ

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2003
• Tom: Vol. 51, no 4
• Strony: 401--417
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Kamiński B.

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Siemaszko A.

• Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Żołnierska 14A, 10-631 Olsztyn, Poland

autor

Szymański J.

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

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