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Hausdorff Dimension and Conformal Dynamics III: Computation of Dimension
(Johns Hopkins University Press, 1998)
This paper presents an eigenvalue algorithm for accurately computing the Hausdorff dimension of limit sets of Kleinian groups and Julia sets of rational maps. The algorithm is applied to Schottky groups, quadratic polynomials ...
Self-Similarity of Siegel Disks and Hausdorff Dimension of Julia Sets
(Springer Netherlands, 1998)
Let f(z) = e2 i z +z2, where θ is an irrational number of bounded type. According
to Siegel, f is linearizable on a disk containing the origin. In this paper we show:
• the Hausdorff dimension of the Julia set J(f) is ...
The Classification of Conformal Dynamical Systems
(International Press, 1995)
Riemann Surfaces and the Geometrization of 3-Manifolds
(American Mathematical Society, 1992)
Rational Maps and Kleinian Groups
(Springer, 1991)
Rational Maps and \(Teichm\ddot{u}ller\) Space
(Springer, 1994)
Rigidity and Inflexibility in Conformal Dynamics
(Universität Bielefeld, Fakultät für Mathematik, 1998)
Iteration on Teichmüller Space
(Springer Verlag, 1990)
Frontiers in Complex Dynamics
(American Mathematical Society, 1994)
Amenable Coverings of Complex Manifolds and Holomorphic Probability Measures
(Springer Verlag, 1992)