Fractal Dimension of Julia Set for Non-analytic Maps
Abstract
The Hausdorff dimensions of the Julia sets for non-analytic maps: f(z) = z2 + epsilon z* and f(z) = z*2 + epsilon are calculated perturbatively for small epsilon. It is shown that Ruelle's formula for Hausdorff dimensions of analytic maps can not be generalized to non-analytic maps.
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