Abstract

In this talk, we consider some ergodic optimization problems for an expanding circle map. When the map is real analytic, we show that all optimizing measures of a real analytic potential function have zero entropy, unless the potential is cohomologous to constant. We also discuss some applications and related problems. This talk is based on a joint work with Weixiao Shen.

Speaker

高睿，研究方向为动力系统与遍历理论，本科毕业于中国科学技术大学，博士毕业于新加坡国立大学。