Browsing FAS Scholarly Articles by Keyword "complex dynamics"
Now showing items 1-3 of 3
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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 ... -
Dynamics on the Unit Disk: Short Geodesics and Simple Cycles
(European Mathematical Society, 2010) -
Hausdorff Dimension and Conformal Dynamics II: Geometrically Finite Rational Maps
(Birkhäuser Basel, 2000)This paper investigates several dynamically defined dimensions for rational maps \(f\) on the Riemann sphere, providing a systematic treatment modeled on the theory for Kleinian groups. We begin by defining the radial Julia ...