Flats in 3-manifolds
Flows and joins of metric spaces.
Foldable cubical complexes of nonpositive curvature.
Formal language theory and the geometry of 3-manifolds.
Fractal representation of the attractive lamination of an automorphism of the free group
In this paper, we extend to automorphisms of free groups some results and constructions that classically hold for morphisms of the free monoid, i.e., the so-called substitutions. A geometric representation of the attractive lamination of a class of automorphisms of the free group (irreducible with irreducible powers (iwip) automorphisms) is given in the case where the dilation coefficient of the automorphism is a unit Pisot number. The shift map associated with the attractive symbolic lamination...
Free group automorphisms, invariant orderings and topological applications.