Rigidity and flexibility of group actions on the circle

Abstract

We survey rigidity results for groups acting on the circle in various settings, from local to global and $C^0$ to smooth. Our primary focus is on actions of surface groups, with the aim of introducing the reader to recent developments and new tools to study groups acting by homeomorphisms.

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• Morse actions of discrete groups on symmetric space
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• Ziggurat fringes are self-similar
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Cited by in corpus (4)

• Free products and the algebraic structure of diffeomorphism groups
• Subgroup dynamics and $C^{\ast }$-simplicity of groups of homeomorphisms
• Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I: Construction
• Dynamical rigidity of non discrete representations in PSL(2,R)