EVENT DETAILS AND ABSTRACT

Title: A dichotomy for measures of maximal entropy
Speaker: Todd Fisher
Speaker Info: Brigham Young University
Brief Description:
Special Note:
Abstract:

I will discuss recent joint work with Jerome Buzzi and Ali Tahzibi. We show that there are open sets of partially hyperbolic diffeomorphisms arbitrarily close to the time-t map of an Anosov flow for which there is a dichotomy for the measures of maximal entropy; either all of the measures of maximal entropy are non-hyperbolic, or there are exactly two ergodic measures of maximal entropy where one has a positive central exponent and the other has a negative central exponent.