Uniform convergence in the mapping class group

Richard P. Kent IV, Christopher J. Leininger

Research output: Contribution to journalArticlepeer-review


We characterize convex cocompact subgroups of the mapping class group of a surface in terms of uniform convergence actions on the zero locus of the limit set. We also construct subgroups that act as uniform convergence groups on their limit sets, but are not convex cocompact.

Original languageEnglish (US)
Pages (from-to)1177-1195
Number of pages19
JournalErgodic Theory and Dynamical Systems
Issue number4
StatePublished - Aug 2008

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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