Distances in probability space and the statistical complexity setup

dc.creatorKowalski, Andrés
dc.creatorMartín, María Teresa
dc.creatorPlastino, Ángel Luis
dc.creatorRosso, Osvaldo A.
dc.creatorCasas, Montserrat
dc.date2011-06
dc.date2014-07-18T17:31:29Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/38178
dc.identifierhttp://www.mdpi.com/1099-4300/13/6/1055
dc.identifierissn:1099-4300
dc.descriptionStatistical complexity measures (SCM) are the composition of two ingredients: (i) entropies and (ii) distances in probability-space. In consequence, SCMs provide a simultaneous quantification of the randomness and the correlational structures present in the system under study. We address in this review important topics underlying the SCM structure, viz., (a) a good choice of probability metric space and (b) how to assess the best distance-choice, which in this context is called a "disequilibrium" and is denoted with the letter Q. Q, indeed the crucial SCM ingredient, is cast in terms of an associated distance D. Since out input data consists of time-series, we also discuss the best way of extracting from the time series a probability distribution P. As an illustration, we show just how these issues affect the description of the classical limit of quantum mechanics.
dc.descriptionFacultad de Ciencias Exactas
dc.formatapplication/pdf
dc.format1055-1075
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by/3.0/
dc.rightsCreative Commons Attribution 3.0 Unported (CC BY 3.0)
dc.subjectCiencias Exactas
dc.subjectFísica
dc.subjectdisequilibrium
dc.subjectgeneralized statistical complexity
dc.subjectinformation theory
dc.subjectquantum chaos
dc.subjectselection of the probability distribution
dc.subjectsemiclassical theories
dc.titleDistances in probability space and the statistical complexity setup
dc.typeArticulo
dc.typeArticulo


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