The Hausdorff dimension of quasi-circles: a result of Ruelle and Bowen
classification
🧮 math.DS
keywords
dimensionbowenhausdorffproofquasi-circlesresultruelleaccessible
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We provide an expanded and clarified proof of the famous result of Bowen and Ruelle giving an asymptotic formula for the Hausdorff dimension of quasi-circles corresponding to the Julia sets of $f(z)=z^2+c$ for small $c$. The proof does not contain new material but has been rewritten to make it more accessible to MSc or PhD students with an interest in dimension theory.
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