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math.DS2019
Existence of non-trivial embeddings of Interval Exchange Transformations into Piecewise Isometries
Pedro Peres, Ana Rodrigues
We prove that almost every interval exchange transformation, with an associated translation surface of genus , can be non-trivially and isometrically embedded in a family…
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★ 1 cited
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…