Intensive entropic non-triviality measure

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 advan...

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Autores principales: Lamberti, P.W., Martin, M.T., Plastino, A., Rosso, O.A.
Formato: JOUR
Materias:
Disequilibrium
Distances in probability space
Dynamical systems
Fractals
Lyapunov methods
Mathematical models
Metric system
Probability distributions
Statistical methods
Uncertain systems
Vectors
Distances in probability spaces
Entropy
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03784371_v334_n1-2_p119_Lamberti
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_03784371_v334_n1-2_p119_Lamberti2023-10-03T15:32:40Z Intensive entropic non-triviality measure Lamberti, P.W. Martin, M.T. Plastino, A. Rosso, O.A. 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 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v334_n1-2_p119_Lamberti
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 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
spellingShingle 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
Lamberti, P.W.
Martin, M.T.
Plastino, A.
Rosso, O.A.
Intensive entropic non-triviality measure
topic_facet 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
description 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.
format JOUR
author Lamberti, P.W.
Martin, M.T.
Plastino, A.
Rosso, O.A.
author_facet Lamberti, P.W.
Martin, M.T.
Plastino, A.
Rosso, O.A.
author_sort Lamberti, P.W.
title Intensive entropic non-triviality measure
title_short Intensive entropic non-triviality measure
title_full Intensive entropic non-triviality measure
title_fullStr Intensive entropic non-triviality measure
title_full_unstemmed Intensive entropic non-triviality measure
title_sort intensive entropic non-triviality measure
url http://hdl.handle.net/20.500.12110/paper_03784371_v334_n1-2_p119_Lamberti
work_keys_str_mv AT lambertipw intensiveentropicnontrivialitymeasure
AT martinmt intensiveentropicnontrivialitymeasure
AT plastinoa intensiveentropicnontrivialitymeasure
AT rossooa intensiveentropicnontrivialitymeasure
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