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Results tagged with entropy
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user 138379
4
votes
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Looking for a counterexample for Ruelle's inequality on compact manifold
Then D.Ruelle proved that
$$
h_\mu(f)\le \int_M \sum_{i:\chi_i(f)>0} \chi_i(x)\dim E_i(x) d\mu(x)
$$
where $h_\mu(f)$ is measure theoretical entropy, $\chi_i(x)$ are the Lyapounov exponents and $E_i(x …
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