English

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

Dynamical Systems 2023-05-22 v2

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

Cite

@article{arxiv.2304.09523,
  title  = {Non-Injectivity of Infinite Interval Exchange Transformations and Generalized Thue-Morse Sequences},
  author = {Luis-Miguel Lopez and Philippe Narbel},
  journal= {arXiv preprint arXiv:2304.09523},
  year   = {2023}
}

Comments

23 pages, 8 figures; small fixes