Corrigendum

In [] the authors constructed, for each r∈ (0,1), a function from a homogeneous tree of degree 2t to the open unit disk in the complex plane mapping the root of the tree to 0 and any pair of neighbors to points at hyperbolic distance r. Correspondingly, there is a free group of rank t of Möbius transformations such that the vertices of the tree are mapped to the orbit of 0, and the edges to geodesic arcs. One of the principal results of [] is to show that this function is an embedding of the tree when cos(π /2t)≤ r<1. This corrigendum fills a gap in the argument.