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+cwhencis either extremely large or extremely small. - That said,
c=2falls completely outside these two extreme scenarios, leaving me stuck on how to calculate the Hausdorff dimensionsof the Julia setJ = J(z²+2)and its corresponding Hausdorff measureℋ^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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