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如何求解z²+2的Julia集的Hausdorff维数?

My Current Progress & Confusion with Fractal Geometry by Kenneth Falconer
  • I’ve been deep into Kenneth Falconer’s Fractal Geometry recently. The book outlines methods to estimate the Hausdorff dimension of Julia sets for the iteration z²+c when c is either extremely large or extremely small.
  • That said, c=2 falls completely outside these two extreme scenarios, leaving me stuck on how to calculate the Hausdorff dimension s of the Julia set J = J(z²+2) and its corresponding Hausdorff measure ℋ^s(J).
  • One minor gripe I have with the book is that it’s packed with excessive descriptive content—stuff that doesn’t add much to the technical understanding and slows down the pace of diving into the core math.

内容的提问来源于stack exchange,提问作者Ma Joad

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最近更新时间:2026.05.19 08:32:35