Ergodic measures with infinite entropy
Dynamical Systems
2025-04-15 v4
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.
Cite
@article{arxiv.1901.07221,
title = {Ergodic measures with infinite entropy},
author = {Eleonora Catsigeras and Serge Troubetzkoy},
journal= {arXiv preprint arXiv:1901.07221},
year = {2025}
}