# Hausdorff dimension and conformal dynamics, III: Computation of dimension

```@article{McMullen1998HausdorffDA,
title={Hausdorff dimension and conformal dynamics, III: Computation of dimension},
author={C. McMullen},
journal={American Journal of Mathematics},
year={1998},
volume={120},
pages={691 - 721}
}```
• C. McMullen
• Published 1998
• Mathematics
• American Journal of Mathematics
<abstract abstract-type="TeX"><p>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 and Blaschke products, yielding both numerical and theoretical results. Dimension graphs are presented for (a) the family of Fuchsian groups generated by reflections in 3 symmetric geodesics; (b) the family of polynomials <i>f<sub>c</sub… Expand
145 Citations

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