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]...
Guardado en:
| Autor principal: | |
|---|---|
| Otros Autores: | , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2006
|
| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 07262caa a22010097a 4500 | ||
|---|---|---|---|
| 001 | PAPER-6980 | ||
| 003 | AR-BaUEN | ||
| 005 | 20250821091041.0 | ||
| 008 | 190411s2006 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-33745727222 | |
| 030 | |a PHYAD | ||
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Martin, M.T. | |
| 245 | 1 | 0 | |a Generalized statistical complexity measures: Geometrical and analytical properties |
| 260 | |c 2006 | ||
| 270 | 1 | 0 | |m Rosso, O.A.; Chaos and Biology Group, Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Pabellon II, Ciudad Universitaria, 1428 Ciudad de Buenos Aires, Argentina; email: oarosso@fibetel.com.ar |
| 504 | |a Crutchfield, J.P., Young, K., (1989) Phys. Rev. Lett., 63, p. 105 | ||
| 504 | |a Sprott, J.C., (2004) Chaos and Time Series Analyis, , Oxford University Press, Oxford | ||
| 504 | |a Ott, E., Sauer, T., Yorke, J.A., (1994) Coping with Chaos, , Wiley, New York | ||
| 504 | |a Solomonoff, R.J., (1964) Inf. Control, 7, p. 224 | ||
| 504 | |a Kolmogorov, A.N., (1965) Problems Inf. Transmission, 1, p. 1 | ||
| 504 | |a Chaitin, G.J., (1966) J. Assoc. Comput. Mach., 13, p. 547 | ||
| 504 | |a Kantz, H., Kurths, J., Meyer-Kress, G., (1998) Nonlinear Analysis of Physiological Data, , Springer, Berlin | ||
| 504 | |a Rosso, O.A., Martin, M.T., Plastino, A., (2003) Physica A, 320, p. 497 | ||
| 504 | |a Plastino, A., Martin, M.T., Rosso, O.A., (2004) Nonextensive Entropy-Interdisciplinary Applications, Santa Fe Institute Studies in the Sciences of Complexity, pp. 261-293. , Gell-Mann M., and Tsallis C. (Eds), Oxford University Press, Oxford | ||
| 504 | |a Rosso, O.A., Martin, M.T., Plastino, A., (2005) Physica A, 347, p. 444 | ||
| 504 | |a Kowalski, A.M., Martin, M.T., Plastino, A., Proto, A.N., Rosso, O.A., (2003) Phys. Lett. A, 311, p. 180 | ||
| 504 | |a Kowalski, A.M., Martin, M.T., Plastino, A., Rosso, O.A., (2005) Int. J. Mod. Phys. B, 19, p. 2273 | ||
| 504 | |a González, C.M., Larrondo, H.A., Rosso, O.A., (2005) Physica A, 354, p. 281 | ||
| 504 | |a Larrondo, H.A., González, C.M., Martin, M.T., Plastino, A., Rosso, O.A., (2005) Physica A, 356, p. 133 | ||
| 504 | |a Shiner, J.S., Davison, M., Landsberg, P.T., (1999) Phys. Rev. E, 59, p. 1459 | ||
| 504 | |a Feldman, D.P., Crutchfield, J.P., (1998) Phys. Lett. A, 238, p. 244 | ||
| 504 | |a López-Ruiz, R., Mancini, H.L., Calbet, X., (1995) Phys. Lett. A, 209, p. 321 | ||
| 504 | |a Calbet, X., López-Ruiz, R., (2001) Phys. Rev. E, 63, p. 066116 | ||
| 504 | |a Anteneodo, C., Plastino, A.R., (1997) Phys. Lett. A, 223, p. 348 | ||
| 504 | |a Shiner, J.S., Davison, M., Landsberg, P.T., (2000) Phys. Rev. E, 62, p. 3000 | ||
| 504 | |a Huberman, B.A., Hogg, T., (1986) Physica D, 22, p. 376 | ||
| 504 | |a Grassberger, P., (1986) Int. J. Theor. Phys., 25, p. 907 | ||
| 504 | |a Shannon, C.E., (1948) Bell System Technol. J., 27, pp. 379;623 | ||
| 504 | |a Cover, T.M., Thomas, J.A., (1991) Elements of Information Theory, , Wiley, New York | ||
| 504 | |a Martin, M.T., Plastino, A., Rosso, O.A., (2003) Phys. Lett. A, 311, p. 126 | ||
| 504 | |a Lamberti, P.W., Martin, M.T., Plastino, A., Rosso, O.A., (2004) Physica A, 334, p. 119 | ||
| 504 | |a Aczél, J., Daròczy, Z., (1975) On Measures of Information and their Characterization, Mathematics in Science and Engineering, 115. , Academic Press, New York | ||
| 504 | |a Wootters, W.K., (1981) Phys. Rev. D, 23, p. 357 | ||
| 504 | |a Lamberti, P.W., Majtley, A.P., (2003) Physica A, 239, p. 81 | ||
| 504 | |a Tsallis, C., (1988) J. Stat. Phys., 52, p. 479 | ||
| 504 | |a (2004) Nonextensive Entropy-Interdisciplinary Applications, Santa Fe Institute Studies in the Sciences of Complexity, , Gell-Mann M., and Tsallis C. (Eds), Oxford University Press, Oxford | ||
| 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 Plastino, A.R., Plastino, A., (1996) Phys. Rev. E, 54, p. 4423. , and references therein | ||
| 504 | |a Mischaikow, K., Mrozek, M., Reiss, J., Szymczak, A., (1999) Phys. Rev. Lett., 82, p. 1114 | ||
| 504 | |a Powell, G.E., Percival, I.C., (1979) J. Phys. A: Math. Gen., 12, p. 2053 | ||
| 504 | |a Rosso, O.A., Mairal, M.L., (2002) Physica A, 312, p. 469 | ||
| 504 | |a Bandt, C., Pompe, B., (2002) Phys. Rev. Lett., 88, p. 174102 | ||
| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |a 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. |l eng | |
| 536 | |a Detalles de la financiación: Agencia Nacional de Promoción Científica y Tecnológica, PICT 20648/04 | ||
| 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 5687/05, PIP 6036/05 | ||
| 536 | |a Detalles de la financiación: This work was partially supported by CONICET (PIP 5687/05, PIP 6036/05) Argentina, Agencia Nacional de Promoción Cientifíca y Tecnólogica (PICT 20648/04) Argentina, and the International Office of BMBF (ARG-4-G0A-6A and ARG01-005), Germany. | ||
| 593 | |a Instituto de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina | ||
| 593 | |a Chaos and Biology Group, Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Pabellon II, 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 ENTROPY |
| 690 | 1 | 0 | |a STATISTICAL COMPLEXITY |
| 690 | 1 | 0 | |a ENTROPY |
| 690 | 1 | 0 | |a PROBABILISTIC LOGICS |
| 690 | 1 | 0 | |a STATISTICAL METHODS |
| 690 | 1 | 0 | |a THEOREM PROVING |
| 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 COMPUTATIONAL COMPLEXITY |
| 700 | 1 | |a Plastino, Angel Luis | |
| 700 | 1 | |a Rosso, O.A. | |
| 773 | 0 | |d 2006 |g v. 369 |h pp. 439-462 |k n. 2 |p Phys A Stat Mech Appl |x 03784371 |w (AR-BaUEN)CENRE-280 |t Physica A: Statistical Mechanics and its Applications | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-33745727222&doi=10.1016%2fj.physa.2005.11.053&partnerID=40&md5=c39673d65e5d2947aa3265a9b9e110e9 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.physa.2005.11.053 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_03784371_v369_n2_p439_Martin |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v369_n2_p439_Martin |y Registro en la Biblioteca Digital |
| 961 | |a paper_03784371_v369_n2_p439_Martin |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 963 | |a VARI | ||
| 999 | |c 67933 | ||