arXiv subjects

Luis-Miguel Lopez

Publications and source records attributed to Luis-Miguel Lopez.

3 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↗

arXiv2018

Topological Laminations on Surfaces

We present and prove a topological characterization of geodesic laminations on hyperbolic surfaces of finite type.

math.GT↗

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↗