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Regular version of the site

Article

Symmetric interval identification systems of order 3

Discrete and Continuous Dynamical Systems. 2012. Vol. 32. No. 2. P. 643-656.

 

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.