Browsing FAS Scholarly Articles by Keyword "Hausdorff dimension"
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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 ... -
Winning Sets, Quasiconformal Maps and Diophantine Approximation
(Springer, 2010)This paper describes two new types of winning sets in \(\mathbb{R}^n\), defined using variants of Schmidt’s game. These strong and absolute winning sets include many Diophantine sets of measure zero and first category, and ...