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Non-injectivity of infinite interval exchange transformations and generalized Thue-Morse sequences

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In this paper we study the non-injectivity arising in infinite interval exchange transformations. In particular, we build and analyze an infinite family of infinite interval exchanges semi-conjugated to generalized Thue-Morse… Click to show full abstract

In this paper we study the non-injectivity arising in infinite interval exchange transformations. In particular, we build and analyze an infinite family of infinite interval exchanges semi-conjugated to generalized Thue-Morse subshifts, whose non-injectivity occurs at a characterizable finite set of points.

Keywords: exchange transformations; non injectivity; interval exchange; generalized thue; infinite interval

Journal Title: Discrete and Continuous Dynamical Systems
Year Published: 2023

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