Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree

Details Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree

2000-02-23

arxiv.org/abs/math-ph/0002046v1

Physics

Mathematical Physics

35 pages, 4 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-358703