Hofstadter's Butterfly (http://en.wikipedia.org/wiki/Hofstadter's_butterfly) is described as a fractal, and in http://physics.technion.ac.il/~odim/hofstadter.html [Broken] it is stated that when the quantum flux is an irrational number of units, then it is a Cantor set, which makes it (by http://en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dimension) = ln(2)/ln(3). However, I am wondering whether the statement that it is a Cantor set is perhaps referring to a generalized Cantor set with Hausdorff dimension ln(2)/ ln((1-γ)/2) with perhaps γ depending on the flux?(adsbygoogle = window.adsbygoogle || []).push({});

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# Hausdorff dimension of Hofstadter's Butterfly?

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