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Results tagged with ergodic-theory
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user 18334
Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
1
vote
Margulis-Ruelle inequality for piecewise continuous interval maps
Do you want just a reference or a proof? I didnt know any reference but for a proof the following should work.
Let $\mu$ be an ergodic measure of a piecewise $C^1$ interval maps (with finitely many …
- 69
2
votes
Entropy of nested compact invariant sets
The strategy of Benoît Kloeckner fails for differentiable maps. Indeed if $K$ is a single point and $K_n$ invariant balls around $K$ it implies that $K$ is an attracting fixed point. Therefore the log …
- 69