Abstract
In this monograph, we study finitely generated groups which are classically known to act faithfully on the circle. The purpose of this monograph is to give a systematic construction of uncountable families of actions of these groups which have “essentially different” dynamics. The tools described allow us to construct many exotic actions of classically studied groups, i.e. actions which are not semi-conjugate to the “usual” or “standard” actions of these groups. This monograph is partially expository and partially original. We develop theory as coherently as possible, with some methods that are well-known to experts, and others which to our knowledge are our own.
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Kim, Sh., Koberda, T., Mj, M. (2019). Introduction. In: Flexibility of Group Actions on the Circle. Lecture Notes in Mathematics, vol 2231. Springer, Cham. https://doi.org/10.1007/978-3-030-02855-8_1
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DOI: https://doi.org/10.1007/978-3-030-02855-8_1
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