Topological Mixing for Some Residual Sets of Interval Exchange Transformations

Jon Chaika, Jon Fickenscher

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We show that a residual set of non-degenerate IETs on more than 3 letters is topologically mixing. This shows that there exists a uniquely ergodic topologically mixing IET. This is then applied to show that some billiard flows in a fixed direction in an L-shaped polygon are topologically mixing.

Original languageEnglish (US)
Pages (from-to)483-503
Number of pages21
JournalCommunications In Mathematical Physics
Issue number1
StatePublished - Jan 2014

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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