@prefix prodottidellaricerca: . @prefix istituto: . @prefix prodotto: . istituto:CDS063 prodottidellaricerca:prodotto prodotto:ID171128 . @prefix pubblicazioni: . @prefix unitaDiPersonaleInterno: . unitaDiPersonaleInterno:MATRICOLA7863 pubblicazioni:autoreCNRDi prodotto:ID171128 . istituto:CDS048 prodottidellaricerca:prodotto prodotto:ID171128 . @prefix rdf: . @prefix retescientifica: . prodotto:ID171128 rdf:type retescientifica:ProdottoDellaRicerca , prodotto:TIPO1101 . @prefix rdfs: . prodotto:ID171128 rdfs:label "Compression and diffusion: a joint approach to detect complexity (Articolo in rivista)"@en . @prefix xsd: . prodotto:ID171128 pubblicazioni:anno "2003-01-01T00:00:00+01:00"^^xsd:gYear . @prefix skos: . prodotto:ID171128 skos:altLabel "
Allegrini P., Benci V., Grigolini P., Hamilton P., Ignaccolo M., Menconi G., Palatella L., Raffaelli G., Scafetta N., Virgilio M., Yang J. (2003)
Compression and diffusion: a joint approach to detect complexity
"^^rdf:HTML ; pubblicazioni:autori "Allegrini P., Benci V., Grigolini P., Hamilton P., Ignaccolo M., Menconi G., Palatella L., Raffaelli G., Scafetta N., Virgilio M., Yang J."^^xsd:string ; pubblicazioni:paginaInizio "517"^^xsd:string ; pubblicazioni:paginaFine "535"^^xsd:string ; pubblicazioni:numeroVolume "15"^^xsd:string ; pubblicazioni:note "Vol.15, Issue 3."^^xsd:string ; skos:note "ISI Web of Science (WOS)"^^xsd:string ; pubblicazioni:titolo "Compression and diffusion: a joint approach to detect complexity"^^xsd:string ; prodottidellaricerca:abstract "The adoption of the Kolmogorov\u0096Sinai entropy is becoming a popular research tool among physicists, especially when applied to a dynamical system fitting the conditions of validity of the Pesin theorem. The study of time series that are a manifestation of system dynamics whose rules are either unknown or too complex for a mathematical treatment, is still a challenge since the KS entropy is not computable, in general, in that case. Here we present a plan of action based on the joint action of two procedures, both related to the KS entropy, but compatible with computer implementation through fast and efficient programs. The former procedure, called compression algorithm sensitive to regularity (CASToRE), establishes the amount of order by the numerical evaluation of algorithmic compressibility. The latter, called complex analysis of sequences via scaling and randomness assessment (CASSANDRA), establishes the complexity degree through the numerical evaluation of the strength of an anomalous effect. This is the departure, of the diffusion process generated by the observed fluctuations, from ordinary Brownian motion. The CASSANDRA algorithm shares with CASToRE a connection with the Kolmogorov complexity. This makes both algorithms especially suitable to study the transition from dynamics to thermodynamics, and the case of non-stationary time series as well. The benefit of the joint action of these two methods is proven by the analysis of artificial sequences with the same main properties as the real time series to which the joint use of these two methods will be applied in future research work" ; prodottidellaricerca:prodottoDi istituto:CDS048 , istituto:CDS063 ; pubblicazioni:autoreCNR unitaDiPersonaleInterno:MATRICOLA7863 .