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Lamberti, P.W.; Martin, M.T.; Plastino, A.; Rosso, O.A. "Intensive entropic non-triviality measure" (2004) Physica A: Statistical Mechanics and its Applications. 334(1-2):119-131
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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
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
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
Volumen:334
Número:1-2
Página de inicio:119
Página de fin:131
DOI: http://dx.doi.org/10.1016/j.physa.2003.11.005
Título revista:Physica A: Statistical Mechanics and its Applications
Título revista abreviado:Phys A Stat Mech Appl
ISSN:03784371
CODEN:PHYAD
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