The geometry of spaces of finite labelled trees

Karen Vogtmann

Abstract: Spaces of finite trees with k labelled leaves arise in seemingly diverse subjects, including automorphisms of free groups, symplectic Lie algebras, and molecular phylogenetics. These spaces carry natural metrics of non-positive curvature, and we study geodesics in these spaces as well as different notions of centroid and probability measures.

created Thu May 18 16:32:57 PDT 2000