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Questions about Hausdorff measures, their variants (such as spherical Hausdorff measures) and generalisations.

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Hausdorff dimension of Julia set

This argument is from Eremenko-Lyubich survey: Let $f$ be a rational map and $\mu$ an $f$-invariant ergodic measure on $\widehat{\Bbb{C}}$. By Ledrappier-Young entropy formula, $h_\mu(f)$ is the produ …
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