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Rotation sets with non-empty interior and transitivity in the universal covering

  • NANCY GUELMAN (a1), ANDRES KOROPECKI (a2) and FABIO ARMANDO TAL (a3)

Abstract

Let $f$ be a transitive homeomorphism of the two-dimensional torus in the homotopy class of the identity. We show that a lift of $f$ to the universal covering is transitive if and only if the rotation set of the lift contains the origin in its interior.

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References

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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