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Introduction

  • Sang-hyun Kim
  • Thomas Koberda
  • Mahan Mj
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2231)

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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Sang-hyun Kim
    • 1
  • Thomas Koberda
    • 2
  • Mahan Mj
    • 3
  1. 1.School of MathematicsKorea Institute for Advanced StudySeoulRepublic of Korea
  2. 2.Department of MathematicsUniversity of VirginiaCharlottesvilleUSA
  3. 3.School of MathematicsTata Institute of Fundamental ResearchMumbaiIndia

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