Symmetric interval identification systems of order three

Alexandra Skripchenko

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

In the present paper we study symmetric interval identification systems of order three. We prove that the Rauzy induction preserves symmetry: for any symmetric interval identification system of order 3 after finitely many iterations of the Rauzy induction we always obtain a symmetric system. We also provide an example of symmetric interval identification system of thin type.

Original languageEnglish
Pages (from-to)643-656
Number of pages14
JournalDiscrete and Continuous Dynamical Systems
Volume32
Issue number2
DOIs
Publication statusPublished - Feb 2012
Externally publishedYes

Keywords

  • Interval identification systems
  • R-tree
  • Rauzy induction

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