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Boltzmann and the Statistical Multifractals

Del Río-Correa J.L.

Del Río-Correa J.L.

Universidad Autónoma Metropolitana-Iztapalapa, Departamento de FísicaFísica, México
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Río-Correa J.L., Del
, 
López-García J.

López-García J.

UNAM - FES Acatlán, División de Matemáticas e IngenieríaIngeniería, México
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J., López-García
 and 
Durán-Meza G.

Durán-Meza G.

Universidad Autónoma Metropolitana-Iztapalapa, Departamento de FísicaFísica, México
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G., Durán-Meza
  
May 12, 2019
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Article Category: Papers dedicated to the memory of Valetnin Afraymovich (1945-2018)
Published Online: May 12, 2019
Page range: 197 - 208
Received: Jan 19, 2019
Accepted: Mar 24, 2019
DOI: https://doi.org/10.2478/AMNS.2019.1.00007
Keywords
© 2019 Del Río-Correa J.L. et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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.

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English
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Journal Subjects:
Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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