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arXiv · 1901.07221

Ergodic measures with infinite entropy

Eleonora Catsigeras·Serge Troubetzkoy
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Abstract

We construct ergodic probability measures with infinite metric entropy for typical continuous maps and homeomorphisms on compact manifolds. We also construct sequences of such measures that converge to a zero-entropy measure.

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Eleonora Catsigeras, Serge Troubetzkoy. 2019-01-22. Ergodic measures with infinite entropy. https://doi.org/10.4064/fm687-3-2024

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