Symmetric invariant measures and symmetric rigidity.
Nov 8 2012 – 3:00pm – 3:50 pm
Yunping Jiang (CUNY)
In the study of modern dynamical systems, an invariant measure is an important topic and in the study of modern complex analysis, the quasisymmetric condition on a map is an important topic. In this talk, I will combine these two topics together introducing a new interesting topic, symmetric invariant measure. I will discuss the existence and the uniqueness of a symmetric invariant measure. I will also discuss some ergodicity problem for symmetric measures and a related topic, smooth rigidity and symmetric rigidity.