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- W2891314069 abstract "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 consequence we 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. We also 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." @default.
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- W2891314069 date "2018-09-14" @default.
- W2891314069 modified "2023-09-27" @default.
- W2891314069 title "On the dynamics of Translated Cone Exchange Transformations" @default.
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