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One-Parameter Fisher–Rényi Complexity: Notion and Hydrogenic Applications

dc.contributor.authorValero Toranzo, Irenees_ES
dc.contributor.authorSánchez Moreno, Pablo es_ES
dc.contributor.authorRudnicki, Łukaszes_ES
dc.contributor.authorSánchez-Dehesa Moreno-Cid, Jesús es_ES
dc.date.accessioned2017-03-10T13:30:31Z
dc.date.available2017-03-10T13:30:31Z
dc.date.issued2017
dc.identifier.citationValero Toranzo, I.; et al. One-Parameter Fisher–Rényi Complexity: Notion and Hydrogenic Applications. Entropy, 19(1): 16 (2017). [http://hdl.handle.net/10481/45204]es_ES
dc.identifier.issn1099-4300
dc.identifier.urihttp://hdl.handle.net/10481/45204
dc.description.abstractIn this work, the one-parameter Fisher–Rényi measure of complexity for general d-dimensional probability distributions is introduced and its main analytic properties are discussed. Then, this quantity is determined for the hydrogenic systems in terms of the quantum numbers of the quantum states and the nuclear charge.en_EN
dc.description.sponsorshipThis work was partially supported by the Projects P11-FQM-7276 and FQM-207 of the Junta de Andalucia, and by the MINECO (Ministerio de Economía y Competitividad) and FEDER (European regional development fund) grants FIS2014- 54497P and FIS2014-59311P. Ł.R. acknowledges financial support by the grant number 2014/13/D/ST2/01886 of the National Science Center, Warsaw, Poland. Research in Cologne is supported by the Excellence Initiative of the German Federal and State Governments (Grant ZUK 81) and the DFG (GRO 4334/2-1). Ł.R. also acknowledges the support by the Foundation for Polish Science (FNP) and hospitality of the Freiburg Center for Data Analysis and Modeling. I.V.T. acknowledges the support of the Spanish Ministerio de Educación under the program FPU 2014.en_EN
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Licensees_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es_ES
dc.subjectInformation theory en_EN
dc.subjectFisher informationen_EN
dc.subjectShannon entropyen_EN
dc.subjectRényi entropyen_EN
dc.subjectFisher-Rényi complexityen_EN
dc.subjectHydrogenic systemsen_EN
dc.titleOne-Parameter Fisher–Rényi Complexity: Notion and Hydrogenic Applicationsen_EN
dc.typeinfo:eu-repo/semantics/articleen_EN
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_EN
dc.identifier.doi10.3390/e19010016


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