2010/10/31 by Alexandra Skripchenko · 1 citation
Mathematics · #math.DS #math.GT
paper · pdf · doi:10.3934/dcds.2012.32.643
arxiv created 2011/05/02 · arxiv updated 2011/11/17
In the present paper we study interval identification systems of order three. We prove that the Rauzy induction preserves symmetry: for any symmetric interval identification system of order three 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.