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arXiv · 2304.09523

Non-Injectivity of Infinite Interval Exchange Transformations and Generalized Thue-Morse Sequences

Luis-Miguel Lopez·Philippe Narbel
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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.

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Luis-Miguel Lopez, Philippe Narbel. 2023-04-19. Non-Injectivity of Infinite Interval Exchange Transformations and Generalized Thue-Morse Sequences. https://arxiv.org/abs/2304.09523

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