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math-ph2007
A formula for the fractal dimension d approx. 0.87 of the Cantorian set underlying the Devil's staircase associated with the Circle Map
M. N. Piacquadio Losada
The Cantor set complementary to the Devil's Staircase associated with the Circle Map has a fractal dimension d approximately equal to 0.87, a value that is universal for a wide ran…
math-ph2000
Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree
M. Piacquadio Losada, E. Cesaratto
The task of comparing the Hausdorff spectrum, the computational spectrum, and the Legendre spectrum of a fractal set endowed with a probability measure, was tackled by several auth…