dc.contributor.author | Gómez, Ignacio Sebastián | |
dc.contributor.author | Portesi, Mariela Adelina | |
dc.contributor.author | Lamberti, Pedro Walter | |
dc.date.accessioned | 2024-05-06T12:30:21Z | |
dc.date.available | 2024-05-06T12:30:21Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Gómez, I. S., Portesi, M. A. y Lamberti, P. W. (2017). Distinguishability notion based on Wootters statistical distance : application to discrete maps. Chaos: An Interdisciplinary Journal of Nonlinear Science, 27 (8), 083112. https://doi.org/10.1063/1.4998141 | es |
dc.identifier.uri | http://hdl.handle.net/11086/551747 | |
dc.description.abstract | We study the distinguishability notion given by Wootters for states represented by probability density functions. This presents the particularity that it can also be used for defining a statistical distance in chaotic unidimensional maps. Based on that definition, we provide a metric d for an arbitrary discrete map. Moreover, from d, we associate a metric space with each invariant density of a given map, which results to be the set of all distinguished points when the number of iterations of the map tends to infinity. Also, we give a characterization of the wandering set of a map in terms of the metric d, which allows us to identify the dissipative regions in the phase space. We illustrate the results in the case of the logistic and the circle maps numerically and analytically, and we obtain d and the wandering set for some characteristic values of their parameters. Finally, an extension of the metric space associated for arbitrary probability distributions (not necessarily invariant densities) is given along with some consequences. The statistical properties of distributions given by histograms are characterized in terms of the cardinal of the associated metric space. For two conjugate variables, the uncertainty principle is expressed in terms of the diameters of the associated metric space with those variables. | en |
dc.format.medium | Impreso; Electrónico y/o Digital | |
dc.language.iso | eng | es |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es | * |
dc.source | e-ISSN: 1089-7682 | |
dc.source | ISSN: 1054-1500 | |
dc.subject | Distinguishability | en |
dc.subject | Statistical distance | en |
dc.subject | Discrete maps | en |
dc.title | Distinguishability notion based on Wootters statistical distance : application to discrete maps | en |
dc.type | article | es |
dc.description.version | info:eu-repo/semantics/publishedVersion | es |
dc.description.fil | Fil: Gómez, Ignacio Sebastián. Universidad Nacional de La Plata. Instituto de Física La Plata; Argentina. | es |
dc.description.fil | Fil: Gómez, Ignacio Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física La Plata; Argentina. | es |
dc.description.fil | Fil: Gómez, Ignacio Sebastián. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina. | es |
dc.description.fil | Fil: Portesi, Mariela Adelina. Universidad Nacional de La Plata. Instituto de Física La Plata; Argentina. | es |
dc.description.fil | Fil: Portesi, Mariela Adelina. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física La Plata; Argentina. | es |
dc.description.fil | Fil: Portesi, Mariela Adelina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina. | es |
dc.description.fil | Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. | es |
dc.journal.city | Nueva York | es |
dc.journal.country | Estados Unidos | es |
dc.journal.editorial | American Institute of Physics | en |
dc.journal.number | 8 | es |
dc.journal.referato | Con referato | |
dc.journal.title | Chaos: An Interdisciplinary Journal of Nonlinear Science | en |
dc.journal.volume | 27 | es |
dc.description.field | Otras Ciencias Físicas | |
dc.identifier.doi | https://doi.org/10.1063/1.4998141 | |
dc.contributor.orcid | https://orcid.org/0000-0002-8212-5792 | es |
dc.contributor.orcid | https://orcid.org/0000-0002-3202-4125 | es |