Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Statistical complexity and disequilibrium |
Autor: | Martin, M.T.; Plastino, A.; Rosso, O.A. |
Filiación: | La Plata Physics Institute (IFLP), National University La Plata, Argentina's Natl. Res. Cncl., C.C. 727, 1900 La Plata, Argentina Instituto de Cálculo, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Ciudad de Buenos Aires, Argentina
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Palabras clave: | Disequilibrium; Distances in probability space; Dynamical systems; Statistical complexity; article; dynamics; probability; statistical analysis |
Año: | 2003
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Volumen: | 311
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Número: | 2-3
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Página de inicio: | 126
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Página de fin: | 132
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DOI: |
http://dx.doi.org/10.1016/S0375-9601(03)00491-2 |
Título revista: | Physics Letters, Section A: General, Atomic and Solid State Physics
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Título revista abreviado: | Phys Lett Sect A Gen At Solid State Phys
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ISSN: | 03759601
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CODEN: | PYLAA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v311_n2-3_p126_Martin |
Referencias:
- 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
- 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
- Cover, T.M., Thomas, J.A., (1991) Elements of Information Theory, , Wiley, New York
- Shannon, C.E., (1948) Bell System Tech. J., 27, p. 379
- Shannon, C.E., (1948) Bell System Tech. J., 27, p. 623
- Kolmogorov, A.N., (1958) Dokl. Akad. Nauk SSSR, 119, p. 861
- Sinai, Ja.G., (1959) Dokl. Akad. Nauk SSSR, 124, p. 768
- Beck, C., Schlögl, F., (1993) Thermodynamic of Chaotic Systems, , Cambridge Univ. Press, Cambridge
- Hubennan, B.A., Hogg, T., (1986) Physica D, 22, p. 376
- Grassberger, P., (1986) Int. J. Theor. Phys., 25, p. 907
- Crutchfield, J.P., (1989) Phys. Rev. Lett., 63, p. 105
- Feldman, D.P., Crutchfield, J.P., (1998) Phys. Lett. A, 238, p. 244
- Kantz, H., Kurths, J., Meyer-Kress, G., (1998) Nonlinear Analysis of Physiological Data, , Springer, Berlin
- Shiner, J.S., Davison, M., Landsberg, P.T., (1999) Phys. Rev. E, 59, p. 1459
- Crutchfield, J.P., Feldman, D.P., Shalizi, C.R., (2000) Phys. Rev. E, 62, p. 2996
- Binder, P.M., Perry, N., (2000) Phys. Rev. E, 62, p. 2998
- Shiner, J.S., Davison, M., Landsberg, P.T., (2000) Phys. Rev. E, 62, p. 3000
- López-Ruiz, R., Mancini, H.L., Calbet, X., (1995) Phys. Lett. A, 209, p. 321
- Anteneodo, C., Plastino, A.R., (1997) Phys. Lett. A, 223, p. 348
- Calbet, X., López-Ruiz, R., (2001) Phys. Rev. E, 63, p. 066116
- Kullback, S., Leibler, R.A., (1951) Ann. Math. Stat., 22, p. 79
- Wootters, W.K., (1981) Phys. Rev. D, 23, p. 357
Citas:
---------- APA ----------
Martin, M.T., Plastino, A. & Rosso, O.A.
(2003)
. Statistical complexity and disequilibrium. Physics Letters, Section A: General, Atomic and Solid State Physics, 311(2-3), 126-132.
http://dx.doi.org/10.1016/S0375-9601(03)00491-2---------- CHICAGO ----------
Martin, M.T., Plastino, A., Rosso, O.A.
"Statistical complexity and disequilibrium"
. Physics Letters, Section A: General, Atomic and Solid State Physics 311, no. 2-3
(2003) : 126-132.
http://dx.doi.org/10.1016/S0375-9601(03)00491-2---------- MLA ----------
Martin, M.T., Plastino, A., Rosso, O.A.
"Statistical complexity and disequilibrium"
. Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 311, no. 2-3, 2003, pp. 126-132.
http://dx.doi.org/10.1016/S0375-9601(03)00491-2---------- VANCOUVER ----------
Martin, M.T., Plastino, A., Rosso, O.A. Statistical complexity and disequilibrium. Phys Lett Sect A Gen At Solid State Phys. 2003;311(2-3):126-132.
http://dx.doi.org/10.1016/S0375-9601(03)00491-2