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Entropy analysis of systems exhibiting negative probabilities

dc.contributor.authorMachado, J. A. Tenreiro
dc.date.accessioned2017-01-25T14:39:37Z
dc.date.embargo2117
dc.date.issued2015
dc.description.abstractThis paper addresses the concept of negative probability and its impact upon entropy. An anal-ogy between the probability generating functions, in the scope of quasiprobability distribu-tions, and the Grünwald–Letnikov definition of fractional derivatives, is explored. Two distinct cases producing negative probabilities are formulated and their distinct meaning clarified. Nu-merical calculations using the Shannon entropy characterize further the characteristics of the two limit cases.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doihttp://dx.doi.org/10.1016/j.cnsns.2015.11.022pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/9401
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relation.ispartofseriesCommunications in Nonlinear Science and Numerical Simulation;Vol. 36
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S1007570415004013pt_PT
dc.subjectEntropypt_PT
dc.subjectNegative probabilitypt_PT
dc.subjectFractional calculuspt_PT
dc.subjectQuasiprobability distributionspt_PT
dc.titleEntropy analysis of systems exhibiting negative probabilitiespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage64pt_PT
oaire.citation.startPage58pt_PT
oaire.citation.titleCommunications in Nonlinear Science and Numerical Simulationpt_PT
oaire.citation.volume36pt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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