Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree
Losada, M. Piacquadio ; Cesaratto, E.
arXiv, 0002046 / Harvested from arXiv
Text on arXiv
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 authors - Cawley and Mauldin, Riedi and Mandelbrot, among others. For self-similar measures all three spectra coincide. We compare these spectra for the hyperbolic measure (inducing the Farey Tree partition), fundamentally different from the self-similar one.
Publié le : 2000-02-23
Classification:  Mathematical Physics,  Mathematics - Probability 
@article{0002046,
     author = {Losada, M. Piacquadio and Cesaratto, E.},
     title = {Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002046}
}

Losada, M. Piacquadio; Cesaratto, E. Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002046/