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dc.contributor.author Gomez, Ignacio Sebastián
dc.contributor.author Portesi, Mariela Adelina
dc.contributor.author Lamberti, Pedro Walter
dc.date.available 2018-12-05T14:29:36Z
dc.date.issued 2017-08
dc.identifier.citation Gomez, Ignacio Sebastián; Portesi, Mariela Adelina; Lamberti, Pedro Walter; Distinguishability notion based on Wootters statistical distance: Application to discrete maps; American Institute of Physics; Chaos; 27; 8; 8-2017
dc.identifier.issn 1054-1500
dc.identifier.uri http://hdl.handle.net/11336/65842
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.
dc.format application/pdf
dc.language.iso eng
dc.publisher American Institute of Physics
dc.rights info:eu-repo/semantics/openAccess
dc.rights.uri https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject Distinguishability
dc.subject Statistical distance
dc.subject Discrete maps
dc.subject.classification Astronomía
dc.subject.classification Ciencias Físicas
dc.subject.classification CIENCIAS NATURALES Y EXACTAS
dc.title Distinguishability notion based on Wootters statistical distance: Application to discrete maps
dc.type info:eu-repo/semantics/article
dc.type info:ar-repo/semantics/artículo
dc.type info:eu-repo/semantics/publishedVersion
dc.date.updated 2018-10-22T21:54:35Z
dc.identifier.eissn 1089-7682
dc.journal.volume 27
dc.journal.number 8
dc.journal.pais Estados Unidos
dc.journal.ciudad New York
dc.description.fil Fil: Gomez, Ignacio Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
dc.description.fil Fil: Portesi, Mariela Adelina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
dc.description.fil Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.journal.title Chaos
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/url/aip.scitation.org/doi/full/10.1063/1.4998141
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/1.4998141
dc.conicet.fuente unificacion


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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)