Article
Boltzmann and the Statistical Multifractals
Authors
, and
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
Citation
Río-Correa J.L., D., J., L., & G., D. (2019). Boltzmann and the statistical multifractals. Applied Mathematics and Nonlinear Sciences, 4(1), 197–208. https://doi.org/10.2478/AMNS.2019.1.00007
D. Río-Correa J.L., L. J. and D. G., “Boltzmann and the statistical multifractals,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 1, pp. 197–208, 2019, doi: 10.2478/AMNS.2019.1.00007.
Río-Correa J.L. D, J. L, G. D. Boltzmann and the statistical multifractals. Applied Mathematics and Nonlinear Sciences. 2019;4(1):197–208. doi:10.2478/AMNS.2019.1.00007.
Río-Correa J.L., D., J., L. and G., D. (2019), ‘Boltzmann and the statistical multifractals’, Applied Mathematics and Nonlinear Sciences, 4(1), pp. 197–208. Available at: https://doi.org/10.2478/AMNS.2019.1.00007.
Río-Correa J.L., Del, et al. “Boltzmann and the Statistical Multifractals.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 1, 2019, pp. 197–208. https://doi.org/10.2478/AMNS.2019.1.00007.
Río-Correa J.L., Del, López-García J., and Durán-Meza G. “Boltzmann and the Statistical Multifractals.” Applied Mathematics and Nonlinear Sciences 4, no. 1 (2019): 197–208. https://doi.org/10.2478/AMNS.2019.1.00007.
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