Abstract |
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 to introduce 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 problems for symmetric measures; and a related topic, smooth
rigidity and symmetric rigidity.
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