Displaying similar documents to “Differentiability and analycity of topological entropy for Anosov and geodesic flows.”

Extreme Relations for Topological Flows

Brunon Kamiński, Artur Siemaszko, Jerzy Szymański (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

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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...