On Non Uniquely Ergodic Minimal IETs With Flips

• Antonio Linero Bas ^[1] ; Gabriel Soler López ^[2]
  1. [1] Universidad de Murcia

     Universidad de Murcia

     Murcia, España

     
  2. [2] Universidad Politécnica de Cartagena

     Universidad Politécnica de Cartagena

     Cartagena, España

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 4, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • The existence of non uniquely ergodic minimal interval exchange transformations with flips was proved in [16] by constructing (10, k)-IETs, 1 ≤ k ≤ 10. In this paper, we improve the technique of the construction, by the use of the so-called projetive pseudo-metric, and we get non uniquely ergodic minimal (6, k)-IETs, 1 ≤ k ≤ 6.

    Moreover, we introduce some general technical lemmas that will be useful to build new examples.

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