On the dynamics of Translated Cone Exchange Transformations

 In this talk I will introduce translated cone exchange transformations, a new family of piecewise isometries and renormalize its first return map to a subset of its partition. As a consequence I will show that the existence of an embedding of an interval exchange transformation into a map of this family implies the existence of infinitely many bounded invariant sets. Finally, I will prove the existence of infinitely many periodic islands, accumulating on the real line, as well as non-ergodicity of our family of maps close to the origin. This is joint work with Pedro Peres.

Date and Venue

Start Date
Room FC1031


Ana Rodrigues

Speaker's Institution

University of Exeter, UK


Dynamical Systems