Flexibility of entropies for piecewise expanding unimodal maps

Michal Misiurewicz

We investigate the flexibility of the entropy (topological and metric) for the class of piecewise expanding unimodal maps. We show that the only restrictions for the values of the topological and metric entropies in this class are that both are positive, the topological entropy is at

http://scgp.stonybrook.edu/video_portal/video.php?id=4586

Simons- Program: Renormalization and universality in Conformal Geometry, Dynamics, Random Processes, and Field Theory