2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56507The 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.35 pages, 4 figuresMathematical PhysicsProbabilitytext