Matematiska institutionen

DNA-seminarium: Renormalisation of a cone exchange transformation

  • Datum: 2017-11-02 kl 13:15
  • Plats: ITC 2244
  • Föreläsare: Ana Rodrigues
  • Kontaktperson: Anders Öberg
  • Seminarium

Abstract:


Piecewise Isometries (PWIs) are higher dimensional generalizations of interval exchange transformations (IETs) that have highly complex and little understood behaviour. In this talk I will introduce a new family of piecewise isometries and renormalize its first return map to a subset of its partition. This implies in particular the existence of infinitely many periodic islands for this map as well as non ergodicity close to the origin.