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A Compactification of the Space of Expanding Maps on the Circle |
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| Authors: | Curtis T McMullen |
| Institution: | (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. |
| Keywords: | and phrases:" target="_blank"> and phrases: Expanding maps Blaschke products invariant measures complex dynamics Teichmüller theory |
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