arXiv subjects

Philippe Narbel

Publications and source records attributed to Philippe Narbel.

2 recordsLinked to original sources

arXiv2023

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

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.

math.DS↗

arXiv2015

Infinite Interval Exchange Transformations from Shifts

We show that minimal shifts with zero topological entropy are topologically conjugate to interval exchange transformations, generally infinite. When these shifts have linear factor complexity (linear block growth), the conjugate interval exchanges are proved to satisfy strong finiteness properties.

math.DS↗