Extreme relations for topological flows

• Autorzy: Kamiński B. , Siemaszko A. , Szymański J.

Identyfikatory

DOI

10.4064/ba53-1-3

• Języki publikacji: EN

Abstrakty

EN

We introduce the concept of an extreme relation for a topological flow as an analogue of the extreme measurable partition for a measure-preserving transformation considered by Rokhlin and Sinai, and we show that every topological flow has such a relation for any invariant measure. From this result, it follows, among other things, that any deterministic flow has zero topological entropy and any flow which is a K-system with respect to an invariant measure with full support is a topological K-flow.

Słowa kluczowe

EN

extreme relations; Pinsker relation; topological entropy; entropy pairs; deterministic flows; K-flows

PL

relacja ekstremalna; relacja Pinskera; entropia topologiczna; przepływ deterministyczny; K-przepływ

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: Vol. 53, no 1
• Strony: 17--24
• Opis fizyczny: Bibliogr. 15 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, 10-561 Olsztyn, Poland

autor

Szymański J.

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

Bibliografia

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