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