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math-ph2002★ 9 cited
The Hausdorff dimension of fractal sets and fractional quantum Hall effect
Wellington da Cruz
We consider Farey series of rational numbers in terms of {\it fractal sets} labeled by the Hausdorff dimension with values defined in the interval 1 and…
math-ph1999
A note on Farey sequences and Hausdorff dimension
Wellington da Cruz
We prove that the Farey sequences can be express into equivalence classes labeled by a fractal parameter which looks like a Hausdorff dimension defined within the interval 1 <…