Symmetric interval identification systems of order three

Details Symmetric interval identification systems of order three Symmetric interval identification systems of order three

2010-10-09

arxiv.org/abs/1010.1820v3

Mathematics

Dynamical Systems

Scientific paper

10.3934/dcds.2012.32.643

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.

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