Abstract:
We discuss a way of characterizing probability distributions, complementing that provided by the celebrated notion of information measure, with reference to a measure of complexity that we call a "nontriviality measure". Our starting point is the "LMC" measure of complexity advanced by López-Ruiz et al. (Phys. Lett. A 209 (1995) 321) and its analysis by Anteneodo and Plastino (Phys. Lett. A 223 (1997) 348). An improvement of some of their troublesome characteristics is thereby achieved. Basically, we replace the Euclidean distance to equilibrium by the Jensen-Shannon divergence. The resulting measure turns out to be (i) an intensive quantity and (ii) allows one to distinguish between different degrees of periodicity. We apply the "cured" measure to the logistic map so as to clearly exhibit its advantages. © 2004 Elsevier B.V. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Intensive entropic non-triviality measure |
Autor: | Lamberti, P.W.; Martin, M.T.; Plastino, A.; Rosso, O.A. |
Filiación: | Fac. de Matemat./Astron./Fís., Univ. Nacional de Córdoba, Ciudad Universitaria, Córdoba 5000, Argentina Instituto de Física (IFLP), Universidad Nacional de La Plata, Argentina's Natl. Res. Cncl., C.C. 727, La Plata 1900, Argentina Instituto de Cálculo, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón II, Ciudad de Buenos Aires 1428, Argentina
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Palabras clave: | Disequilibrium; Distances in probability space; Dynamical systems; Fractals; Lyapunov methods; Mathematical models; Metric system; Probability distributions; Statistical methods; Uncertain systems; Vectors; Disequilibrium; Distances in probability spaces; Dynamical systems; Entropy |
Año: | 2004
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Volumen: | 334
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Número: | 1-2
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Página de inicio: | 119
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Página de fin: | 131
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DOI: |
http://dx.doi.org/10.1016/j.physa.2003.11.005 |
Título revista: | Physica A: Statistical Mechanics and its Applications
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Título revista abreviado: | Phys A Stat Mech Appl
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ISSN: | 03784371
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CODEN: | PHYAD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v334_n1-2_p119_Lamberti |
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Citas:
---------- APA ----------
Lamberti, P.W., Martin, M.T., Plastino, A. & Rosso, O.A.
(2004)
. Intensive entropic non-triviality measure. Physica A: Statistical Mechanics and its Applications, 334(1-2), 119-131.
http://dx.doi.org/10.1016/j.physa.2003.11.005---------- CHICAGO ----------
Lamberti, P.W., Martin, M.T., Plastino, A., Rosso, O.A.
"Intensive entropic non-triviality measure"
. Physica A: Statistical Mechanics and its Applications 334, no. 1-2
(2004) : 119-131.
http://dx.doi.org/10.1016/j.physa.2003.11.005---------- MLA ----------
Lamberti, P.W., Martin, M.T., Plastino, A., Rosso, O.A.
"Intensive entropic non-triviality measure"
. Physica A: Statistical Mechanics and its Applications, vol. 334, no. 1-2, 2004, pp. 119-131.
http://dx.doi.org/10.1016/j.physa.2003.11.005---------- VANCOUVER ----------
Lamberti, P.W., Martin, M.T., Plastino, A., Rosso, O.A. Intensive entropic non-triviality measure. Phys A Stat Mech Appl. 2004;334(1-2):119-131.
http://dx.doi.org/10.1016/j.physa.2003.11.005