Faculty of Social Sciences

DNA Seminar: Renormalisation of a Cone Exchange Transformation

  • Date: 11/2/2017 at 1:15 PM
  • Location: ITC 2244
  • Lecturer: Ana Rodrigues
  • Contact person: 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.