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

2023/04/19 by Luis-Miguel Lopez, Lopez, Luis-Miguel, Philippe Narbel +1
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Cellular Automata and Applications #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2304.09523

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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