Intermediate entropy property: old and new.

ABSTRACT:  A dynamical system verifying the intermediate entropy property is one such that any value between 0 and the topological entropy is realized as the measure-theoretical entropy of some ergodic measure. In this talk I will present an overview of the main results involving this property, taking as a starting point a conjecture of Katok and ending by a potpourri of recent results.

Posted on Aug 14, 2020 in Dynamical Systems, Seminars