A survey organizing known results on the dynamics of mapping class group actions on character varieties of surface groups, emphasizing the compact-versus-non-compact dichotomy and covering PSL(2,R), compact groups, PSL(2,C), and higher-rank Lie groups.
An asymptotic for markoff--hurwitz tuples , Year =
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Dynamics and geometry of character varieties for surface groups
A survey organizing known results on the dynamics of mapping class group actions on character varieties of surface groups, emphasizing the compact-versus-non-compact dichotomy and covering PSL(2,R), compact groups, PSL(2,C), and higher-rank Lie groups.