paper

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

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.

23 pages, 8 figures; small fixes