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: |
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| 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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