(1) Mathematics Department, Harvard University, 1 Oxford St, Cambridge, MA 02138-2901, USA
Abstract:
We show the space of expanding Blaschke products on S1 is compactified by a sphere of invariant measures, reminiscent of the sphere of geodesic currents for a hyperbolic surface.
More generally, we develop a dynamical compactification for the Teichmüller space of all measure preserving topological covering
maps of S1.
Research supported in part by the NSF.