Boltzmann and the statistical multifractals

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

Bibliographic Details
Authors: Río Correa, J. L. del, López García, Javier, Durán Meza, G.
Format: article
Status:Published version
Publication Date:2019
Country:España
Institution:Universidad Pública de Navarra
Repository:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/40760
Online Access:https://hdl.handle.net/2454/40760
Access Level:Open access
Keyword:Boltzmann’s formulation
Statistical multifractals
Pointwise dimension
Hausdorff dimension
Description
Summary:We extend the Boltzmann’s ideas that describe the evolution to the equilibrium of many body systems to the multifractalde composition of the unitary intervalI, in terms of sets Jα conformed by points with the same pointwise dimension, and obtain the D (α) singularity spectrum.