Generalized statistical complexity measures: Geometrical and analytical properties

We discuss bounds on the values adopted by the generalized statistical complexity measures [M.T. Martin et al., Phys. Lett. A 311 (2003) 126; P.W. Lamberti et al., Physica A 334 (2004) 119] introduced by López Ruiz et al. [Phys. Lett. A 209 (1995) 321] and Shiner et al. [Phys. Rev. E 59 (1999) 1459]...

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Autores principales: Martin, M.T., Plastino, A., Rosso, O.A.
Formato: JOUR
Materias:
Disequilibrium
Distances in probability space
Dynamical systems
Entropy
Statistical complexity
Probabilistic logics
Statistical methods
Theorem proving
Computational complexity
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03784371_v369_n2_p439_Martin
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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_v369_n2_p439_Martin2023-10-03T15:32:48Z Generalized statistical complexity measures: Geometrical and analytical properties Martin, M.T. Plastino, A. Rosso, O.A. Disequilibrium Distances in probability space Dynamical systems Entropy Statistical complexity Entropy Probabilistic logics Statistical methods Theorem proving Disequilibrium Distances in probability space Dynamical systems Statistical complexity Computational complexity We discuss bounds on the values adopted by the generalized statistical complexity measures [M.T. Martin et al., Phys. Lett. A 311 (2003) 126; P.W. Lamberti et al., Physica A 334 (2004) 119] introduced by López Ruiz et al. [Phys. Lett. A 209 (1995) 321] and Shiner et al. [Phys. Rev. E 59 (1999) 1459]. Several new theorems are proved and illustrated with reference to the celebrated logistic map. © 2006 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_v369_n2_p439_Martin
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
Entropy
Statistical complexity
Entropy
Probabilistic logics
Statistical methods
Theorem proving
Disequilibrium
Distances in probability space
Dynamical systems
Statistical complexity
Computational complexity
spellingShingle Disequilibrium
Distances in probability space
Dynamical systems
Entropy
Statistical complexity
Entropy
Probabilistic logics
Statistical methods
Theorem proving
Disequilibrium
Distances in probability space
Dynamical systems
Statistical complexity
Computational complexity
Martin, M.T.
Plastino, A.
Rosso, O.A.
Generalized statistical complexity measures: Geometrical and analytical properties
topic_facet Disequilibrium
Distances in probability space
Dynamical systems
Entropy
Statistical complexity
Entropy
Probabilistic logics
Statistical methods
Theorem proving
Disequilibrium
Distances in probability space
Dynamical systems
Statistical complexity
Computational complexity
description We discuss bounds on the values adopted by the generalized statistical complexity measures [M.T. Martin et al., Phys. Lett. A 311 (2003) 126; P.W. Lamberti et al., Physica A 334 (2004) 119] introduced by López Ruiz et al. [Phys. Lett. A 209 (1995) 321] and Shiner et al. [Phys. Rev. E 59 (1999) 1459]. Several new theorems are proved and illustrated with reference to the celebrated logistic map. © 2006 Elsevier B.V. All rights reserved.
format JOUR
author Martin, M.T.
Plastino, A.
Rosso, O.A.
author_facet Martin, M.T.
Plastino, A.
Rosso, O.A.
author_sort Martin, M.T.
title Generalized statistical complexity measures: Geometrical and analytical properties
title_short Generalized statistical complexity measures: Geometrical and analytical properties
title_full Generalized statistical complexity measures: Geometrical and analytical properties
title_fullStr Generalized statistical complexity measures: Geometrical and analytical properties
title_full_unstemmed Generalized statistical complexity measures: Geometrical and analytical properties
title_sort generalized statistical complexity measures: geometrical and analytical properties
url http://hdl.handle.net/20.500.12110/paper_03784371_v369_n2_p439_Martin
work_keys_str_mv AT martinmt generalizedstatisticalcomplexitymeasuresgeometricalandanalyticalproperties
AT plastinoa generalizedstatisticalcomplexitymeasuresgeometricalandanalyticalproperties
AT rossooa generalizedstatisticalcomplexitymeasuresgeometricalandanalyticalproperties
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