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Entropy of nested compact invariant sets

Therefore the log of the differential of the diffeo $f$ should be close to zero near $K$ and so does the entropy. … However conter-examples in any finite smoothness ($C^r$ maps with $1\leq r<+\infty$) were given by Misisurewicz in the early seventies : Diffeomorphism without any measure with maximal entropy, Bull. …
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