2 papers
math.DS2018
On the dynamics of Translated Cone Exchange Transformations
Pedro Peres, Ana Rodrigues
In this paper we investigate translated cone exchange transformations, a new family of piecewise isometries and renormalize its first return map to a subset of its partition. As a…
math.DS2018
Embeddings of interval exchange transformations into planar piecewise isometries
Peter Ashwin, Arek Goetz, Pedro Peres +1
Although piecewise isometries (PWIs) are higher dimensional generalizations of one dimensional interval exchange transformations (IETs), their generic dynamical properties seem to…