2011/10/16 by Thierry Coulbois, Coulbois, Thierry, Arnaud Hilion +3
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Stochastic processes and statistical mechanics #math.DS #math.GR #math.GT
paper · pdf · doi:10.48550/arxiv.1110.3506
27 pages
arxiv created 2011/10/16 · arxiv updated 2011/10/18
We extend the techniques of [CH] to build an inductive procedure for studying actions in the boundary of the Culler-Vogtmann Outer Space, the main novelty being an adaptation of he classical Rauzy-Veech induction for studying actions of surface type. As an application, we prove that a tree in the boundary of Outer space is free and indecomposable if and only if its dual lamination is minimal up to diagonal leaves. Our main result generalizes [BFH97, Proposition 1.8] as well as the main result of [KL11].