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ERGODIC MEASURES WITH INFINITE ENTROPY

Serge Troubetzkoy

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.

Dates and versions

hal-01984461 , version 1 (18-01-2019)
hal-01984461 , version 2 (30-05-2020)
hal-01984461 , version 3 (26-10-2021)
hal-01984461 , version 4 (16-10-2022)

Identifiers

• HAL Id : hal-01984461 , version 4
• ARXIV :

Cite

Eleonora Catsigeras, Serge Troubetzkoy. ERGODIC MEASURES WITH INFINITE ENTROPY. 2022. ⟨hal-01984461v4⟩

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