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

IF 1.1 3区数学 Q1 MATHEMATICS

Discrete and Continuous Dynamical Systems Pub Date : 2023-04-19 DOI:10.3934/dcds.2023048

Luis-Miguel Lopez, Philippe Narbel

引用次数: 0

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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无限区间交换变换的非注入性与广义Thue-Morse序列

本文研究了无限区间交换变换中的非注入性。特别地，我们建立并分析了一类半共轭于广义Thue-Morse子位移的无限区间交换族，它们的非注入性发生在可刻画的有限点集上。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Discrete and Continuous Dynamical Systems 数学-数学

CiteScore

2.50

自引率

0.00%

发文量

175

审稿时长

6 months

期刊介绍： DCDS, series A includes peer-reviewed original papers and invited expository papers on the theory and methods of analysis, differential equations and dynamical systems. This journal is committed to recording important new results in its field and maintains the highest standards of innovation and quality. To be published in this journal, an original paper must be correct, new, nontrivial and of interest to a substantial number of readers.