# A Compactification of the Space of Expanding Maps on the Circle

 Title: A Compactification of the Space of Expanding Maps on the Circle Author: McMullen, Curtis T. Citation: McMullen, Curtis T. 2009. A compactification of the space of expanding maps on the circle. Geometric and Functional Analysis 18(6): 2101-2119. Full Text & Related Files: McMullen_Compactification.pdf (328.6Kb; PDF) 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 $$S1$$. Published Version: http://dx.doi.org/10.1007/s00039-009-0709-8 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:3426329

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