Boltzmann and the Statistical Multifractals

Abstract

We extend the Boltzmann’s ideas that describe the evolution to the equilibrium of many body systems to the multifractal decomposition of the unitary interval 𝕀, in terms of sets Jα conformed by points with the same pointwise dimension, and obtain the D(α) singularity spectrum.

Keywords

• boltzmann’s formulation
• statistical multifractals
• pointwise dimension
• hausdorff dimension
• put here the ams 2010 codes of the paper