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Abstract:

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.

Registro:

Documento: Artículo
Título:Generalized statistical complexity measures: Geometrical and analytical properties
Autor:Martin, M.T.; Plastino, A.; Rosso, O.A.
Filiación:Instituto de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina
Chaos and Biology Group, Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Pabellon II, Ciudad Universitaria, 1428 Ciudad de Buenos Aires, Argentina
Palabras clave: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
Año:2006
Volumen:369
Número:2
Página de inicio:439
Página de fin:462
DOI: http://dx.doi.org/10.1016/j.physa.2005.11.053
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_v369_n2_p439_Martin

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Citas:

---------- APA ----------
Martin, M.T., Plastino, A. & Rosso, O.A. (2006) . Generalized statistical complexity measures: Geometrical and analytical properties. Physica A: Statistical Mechanics and its Applications, 369(2), 439-462.
http://dx.doi.org/10.1016/j.physa.2005.11.053
---------- CHICAGO ----------
Martin, M.T., Plastino, A., Rosso, O.A. "Generalized statistical complexity measures: Geometrical and analytical properties" . Physica A: Statistical Mechanics and its Applications 369, no. 2 (2006) : 439-462.
http://dx.doi.org/10.1016/j.physa.2005.11.053
---------- MLA ----------
Martin, M.T., Plastino, A., Rosso, O.A. "Generalized statistical complexity measures: Geometrical and analytical properties" . Physica A: Statistical Mechanics and its Applications, vol. 369, no. 2, 2006, pp. 439-462.
http://dx.doi.org/10.1016/j.physa.2005.11.053
---------- VANCOUVER ----------
Martin, M.T., Plastino, A., Rosso, O.A. Generalized statistical complexity measures: Geometrical and analytical properties. Phys A Stat Mech Appl. 2006;369(2):439-462.
http://dx.doi.org/10.1016/j.physa.2005.11.053