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Abstract:

Statistical complexity measures (SCM) are the composition of two ingredients: (i) entropies and (ii) distances in probability-space. In consequence, SCMs provide a simultaneous quantification of the randomness and the correlational structures present in the system under study. We address in this review important topics underlying the SCM structure, viz., (a) a good choice of probability metric space and (b) how to assess the best distance-choice, which in this context is called a "disequilibrium" and is denoted with the letter Q. Q, indeed the crucial SCM ingredient, is cast in terms of an associated distance D. Since out input data consists of time-series, we also discuss the best way of extracting from the time series a probability distribution P. As an illustration, we show just how these issues affect the description of the classical limit of quantum mechanics. © 2011 by the authors; licensee MDPI, Basel, Switzerland.

Registro:

Documento: Artículo
Título:Distances in probability space and the statistical complexity setup
Autor:Kowalski, A.M.; Martín, M.T.; Plastino, A.; Rosso, O.A.; Casas, M.
Filiación:Instituto de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata (UNLP), C.C. 727, 1900 La Plata, Argentina
Comisión de Investigaciones Científicas (CICPBA), Calle 526 entre 10 y 11, 1900 La Plata, Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Rivadavia 1917, Buenos Aires, Argentina
Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Av. Antônio Carlos, 6627, Campus Pampulha, 31270-901 Belo Horizonte, MG, Brazil
Chaos and Biology Group, Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón II, Ciudad Universitaria, 1428 Ciudad Autónoma de Buenos Aires, Argentina
IFISC-CSIC, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain
Palabras clave:Disequilibrium; Generalized statistical complexity; Information theory; Quantum chaos; Selection of the probability distribution; Semiclassical theories
Año:2011
Volumen:13
Número:6
Página de inicio:1055
Página de fin:1075
DOI: http://dx.doi.org/10.3390/e13061055
Título revista:Entropy
Título revista abreviado:Entropy
ISSN:10994300
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10994300_v13_n6_p1055_Kowalski.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10994300_v13_n6_p1055_Kowalski

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Citas:

---------- APA ----------
Kowalski, A.M., Martín, M.T., Plastino, A., Rosso, O.A. & Casas, M. (2011) . Distances in probability space and the statistical complexity setup. Entropy, 13(6), 1055-1075.
http://dx.doi.org/10.3390/e13061055
---------- CHICAGO ----------
Kowalski, A.M., Martín, M.T., Plastino, A., Rosso, O.A., Casas, M. "Distances in probability space and the statistical complexity setup" . Entropy 13, no. 6 (2011) : 1055-1075.
http://dx.doi.org/10.3390/e13061055
---------- MLA ----------
Kowalski, A.M., Martín, M.T., Plastino, A., Rosso, O.A., Casas, M. "Distances in probability space and the statistical complexity setup" . Entropy, vol. 13, no. 6, 2011, pp. 1055-1075.
http://dx.doi.org/10.3390/e13061055
---------- VANCOUVER ----------
Kowalski, A.M., Martín, M.T., Plastino, A., Rosso, O.A., Casas, M. Distances in probability space and the statistical complexity setup. Entropy. 2011;13(6):1055-1075.
http://dx.doi.org/10.3390/e13061055