Dynamique transverse de la lamination de Ghys-Kenyon
Dynamical Systems
2008-09-05 v1
Abstract
Using an aperiodic and repetitive subtree of the Cayley graph of the free Abelian group with two generators, described by Kenyon, Ghys has constructed an example of minimal Riemann surface lamination having both Euclidean and hyperbolic leaves. We prove that the transverse dynamics of this lamination is represented (in a measurable way) by a 2-adic odometer. In fact, we can describe its topological transverse dynamics, and prove that the Ghys-Kenyon lamination is affable.
Cite
@article{arxiv.0809.0772,
title = {Dynamique transverse de la lamination de Ghys-Kenyon},
author = {F. Alcalde Cuesta and A. Lozano-Rojo and M. Macho-Stadler},
journal= {arXiv preprint arXiv:0809.0772},
year = {2008}
}
Comments
16 pages, 6 figures, to appear in Asterisque