Fractal Dimension of Julia Set for Non-analytic Maps
Abstract
The Hausdorff dimensions of the Julia sets for non-analytic maps: f(z) = z^2 + 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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Submitted on 27 Feb 1998 (v1), last revised 17 Apr 1998 (this version, v3)
Updated
arXiv.org
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