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Metrical and topological pressure of flows without fixed points
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Abstract
We study the metrical and topological pressure for flows without fixed points on a compact metric space, and get the results as follows: (1) The metrical pressure with respect to an ergodic measure can be defined by (t, ε)-spanning sets. (2) The topological pressure is the supremum of metrical pressures with respect to all ergodic measures. (3) The properties that the topological pressure is zero, nonzero, finite or infinite respectively are invariant under weak equivalence.
참고문헌 (5)
- "The ergodic theory of Axiom A ows", 29 (1975)
- "Introduction to measure and integration", Addison-wesley Publish-ing Company Inc. Cambridge
- "Wenxiang Sun and Edson Varges,Entropy of ows", 30, pp.315~333 (1999)
- "Stability properties of one parameter ows", 45 (1982)
- "An introduction to ergodic theory" (1982), Springer-Verlag
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