Transitive circle exchange transformations with flips

Gutierrez Carlos*, Lloyd Simon, Medvedev Vladislav, Pires Benito, Zhuzhoma Evgeny

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We study the existence of transitive exchange transformations with flips defined on the unit circle S1. We provide a complete answer to the question of whether there exists a transitive exchange transformation of S 1 defined on n subintervals and having f flips.

Original languageEnglish
Pages (from-to)251-263
Number of pages13
JournalDiscrete and Continuous Dynamical Systems
Issue number1
Publication statusPublished - Jan 2010
Externally publishedYes


  • Interval exchange transformation
  • Orientation reversing
  • Rauzy induction

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