Boltzmann and the Statistical Multifractals

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.

Bibliographic Details
Main Authors: Río-Correa J.L. Del, J. López-García, G. Durán-Meza
Format: Article
Language:English
Published: Sciendo 2019-05-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/AMNS.2019.1.00007