McMullen, Curtis2009-12-032009McMullen, Curtis T. 2009. A compactification of the space of expanding maps on the circle. Geometric and Functional Analysis 18(6): 2101-2119.1016-443Xhttp://nrs.harvard.edu/urn-3:HUL.InstRepos:3426329We 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 \(S1\).en-USexpanding mapsBlaschke productsinvariant measurescomplex dynamicsTeichmüller theoryJournal Article2009-12-0310.1007/s00039-009-0709-8