Statistical complexity and disequilibrium

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We study the concept of disequilibrium as an essential ingredient of a family of statistical complexity measures. We find that Wootters' objections to the use of Euclidean distances for probability spaces become quite relevant to this endeavor. Replacing the Euclidean distance by the Wootters&#...

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Autor principal: Martin, M.T
Otros Autores: Plastino, Angel Luis, Rosso, O.A
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Elsevier 2003
Acceso en línea:Registro en Scopus
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Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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100 1 |a Martin, M.T. 
245 1 0 |a Statistical complexity and disequilibrium 
260 |b Elsevier  |c 2003 
270 1 0 |m Rosso, O.A.; Instituto de Cálculo, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Ciudad de Buenos Aires, Argentina; email: rosso@ic.fcen.uba.ar 
504 |a Scalapino, D.J., (1993) Physics and Probability. Essays in Honor of Edwin T. Jaynes, , W.T. Grandy Jr., P.W. Milonni (Eds.), Cambridge Univ. Press, Cambridge, and references therein 
504 |a Silver, R.N., (1993) Physics and Probability. Essays in Honor of Edwin T. Jaynes, , W.T. Grandy Jr., P.W. Milonni (Eds.), Cambridge Univ. Press, Cambridge 
504 |a Cover, T.M., Thomas, J.A., (1991) Elements of Information Theory, , Wiley, New York 
504 |a Shannon, C.E., (1948) Bell System Tech. J., 27, p. 379 
504 |a Shannon, C.E., (1948) Bell System Tech. J., 27, p. 623 
504 |a Kolmogorov, A.N., (1958) Dokl. Akad. Nauk SSSR, 119, p. 861 
504 |a Sinai, Ja.G., (1959) Dokl. Akad. Nauk SSSR, 124, p. 768 
504 |a Beck, C., Schlögl, F., (1993) Thermodynamic of Chaotic Systems, , Cambridge Univ. Press, Cambridge 
504 |a Hubennan, B.A., Hogg, T., (1986) Physica D, 22, p. 376 
504 |a Grassberger, P., (1986) Int. J. Theor. Phys., 25, p. 907 
504 |a Crutchfield, J.P., (1989) Phys. Rev. Lett., 63, p. 105 
504 |a Feldman, D.P., Crutchfield, J.P., (1998) Phys. Lett. A, 238, p. 244 
504 |a Kantz, H., Kurths, J., Meyer-Kress, G., (1998) Nonlinear Analysis of Physiological Data, , Springer, Berlin 
504 |a Shiner, J.S., Davison, M., Landsberg, P.T., (1999) Phys. Rev. E, 59, p. 1459 
504 |a Crutchfield, J.P., Feldman, D.P., Shalizi, C.R., (2000) Phys. Rev. E, 62, p. 2996 
504 |a Binder, P.M., Perry, N., (2000) Phys. Rev. E, 62, p. 2998 
504 |a Shiner, J.S., Davison, M., Landsberg, P.T., (2000) Phys. Rev. E, 62, p. 3000 
504 |a López-Ruiz, R., Mancini, H.L., Calbet, X., (1995) Phys. Lett. A, 209, p. 321 
504 |a Anteneodo, C., Plastino, A.R., (1997) Phys. Lett. A, 223, p. 348 
504 |a Calbet, X., López-Ruiz, R., (2001) Phys. Rev. E, 63, p. 066116 
504 |a Kullback, S., Leibler, R.A., (1951) Ann. Math. Stat., 22, p. 79 
504 |a Wootters, W.K., (1981) Phys. Rev. D, 23, p. 357 
506 |2 openaire  |e Política editorial 
520 3 |a We study the concept of disequilibrium as an essential ingredient of a family of statistical complexity measures. We find that Wootters' objections to the use of Euclidean distances for probability spaces become quite relevant to this endeavor. Replacing the Euclidean distance by the Wootters' one noticeably improves the behavior of the associated statistical complexity measure, as evidenced by its application to the dynamics of the logistic map. © 2003 Elsevier Science B.V. All rights reserved.  |l eng 
536 |a Detalles de la financiación: ARG-4-G0A-6A, ARG01-005 
536 |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas, PIP 0029/98 
536 |a Detalles de la financiación: This work was partially supported by CONICET (PIP 0029/98), Argentina and the International Office of BMBF (ARG-4-G0A-6A and ARG01-005), Germany. O.A.R. is very grateful to Prof. Dr. B. Fischer and Prof. Dr. J. Prestin for their kind hospitality at Institut für Mathematik, Medizinische Universität zu Lübeck, Germany; where part of this work was done. 
593 |a La Plata Physics Institute (IFLP), National University La Plata, Argentina's Natl. Res. Cncl., C.C. 727, 1900 La Plata, Argentina 
593 |a Instituto de Cálculo, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Ciudad de Buenos Aires, Argentina 
690 1 0 |a DISEQUILIBRIUM 
690 1 0 |a DISTANCES IN PROBABILITY SPACE 
690 1 0 |a DYNAMICAL SYSTEMS 
690 1 0 |a STATISTICAL COMPLEXITY 
690 1 0 |a ARTICLE 
690 1 0 |a DYNAMICS 
690 1 0 |a PROBABILITY 
690 1 0 |a STATISTICAL ANALYSIS 
700 1 |a Plastino, Angel Luis 
700 1 |a Rosso, O.A. 
773 0 |d Elsevier, 2003  |g v. 311  |h pp. 126-132  |k n. 2-3  |p Phys Lett Sect A Gen At Solid State Phys  |x 03759601  |w (AR-BaUEN)CENRE-348  |t Physics Letters, Section A: General, Atomic and Solid State Physics 
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