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comment Fractal geometry on the circle, where area exponent and cross section exponent differ by less than 1
I changed the formulation of the question in terms of the Hausdorff dimension, to reduce any obtuse language on my part
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comment Fractal geometry on the circle, where area exponent and cross section exponent differ by less than 1
I don't see how the annulus intersection length within two radii, bounds the annulus intersection area, but if it is true, then you can take $r_1 = 0$ in your first equation, then it looks like $0 \le A(0,r2) \le \int_{\phi} r_2^{n+1} f(\phi) d\phi$
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