Ergodic measures with infinite entropy

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.

References in corpus (1)

• Pseudo-physical measures for typical continuous maps of the interval

Cited by in corpus (1)

• Borel subsystems and ergodic universality for compact ${\mathbb{Z}}^d$-systems via specification and beyond