Equilibrium states of intermediate entropies

Abstract

We explore an approach to the conjecture of Katok on intermediate entropies that based on uniqueness of equilibrium states, provided the entropy function is upper semi-continuous. As an application, we prove Katok's conjecture for Mañé diffeomorphisms.

References in corpus (3)

• Ergodic optimization in dynamical systems
• Ergodic measures of intermediate entropies for dynamical systems with the approximate product property
• Zero-entropy dynamical systems with the gluing orbit property