  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.
