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Dynamics on the Unit Disk: Short Geodesics and Simple Cycles
(European Mathematical Society, 2010)
A Compactification of the Space of Expanding Maps on the Circle
(Springer Verlag, 2009)
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 ...