Ergodic measures with infinite entropy
Fundamenta Mathematicae
MSC: Primary 37B40; Secondary 37A35
DOI: 10.4064/fm687-3-2024
Published online: 26 June 2024
Abstract
We construct ergodic probability measures with infinite metric entropy for generic continuous maps and homeomorphisms on compact manifolds. We also construct sequences of such measures that converge to a zero-entropy measure.
