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SUMMARY:Dimension theory of groups of circle diffeomorphisms - Weikun He\,
  AMSS\,  Chinese Academy of Sciences
DTSTART:20231211T140000Z
DTEND:20231211T150000Z
UID:TALK209497@talks.cam.ac.uk
CONTACT:30082
DESCRIPTION:In this talk\, we consider the action of a finitely generated 
 group on the circle by analytic diffeomorphisms. We will discuss some resu
 lts concerning the dimensions of objects arising from this action. More pr
 ecisely\, we will present connections among the dimension of minimal subse
 ts\, that of stationary measures\, entropy of random walks\, Lyapunov expo
 nents and critical exponents. These can be viewed as generalizations of we
 ll-known results in the situation of PSL(2\,R) acting on the circle.\nThis
  talk is based on a joint work with Yuxiang Jiao and Disheng Xu.
LOCATION:MR12
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