Extreme Relations for Topological Flows

Brunon Kamiński, Artur Siemaszko, and Jerzy Szymański. "Extreme Relations for Topological Flows." Bulletin of the Polish Academy of Sciences. Mathematics 53.1 (2005): 17-24. <http://eudml.org/doc/280267>.

@article{BrunonKamiński2005,
abstract = {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.},
author = {Brunon Kamiński, Artur Siemaszko, Jerzy Szymański},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {extreme relations; Pinsker relation; topological entropy; entropy pairs; deterministic flows; -flows},
language = {eng},
number = {1},
pages = {17-24},
title = {Extreme Relations for Topological Flows},
url = {http://eudml.org/doc/280267},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Brunon Kamiński
AU - Artur Siemaszko
AU - Jerzy Szymański
TI - Extreme Relations for Topological Flows
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 1
SP - 17
EP - 24
AB - 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.
LA - eng
KW - extreme relations; Pinsker relation; topological entropy; entropy pairs; deterministic flows; -flows
UR - http://eudml.org/doc/280267
ER -