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zurück | neue Suche | drucken Tino, Peter: Spatial representation of symbolic sequences through iterative function systems Working Papers SFB "Adaptive Information Systems and Modelling in Economics and Management Science", Nr. 15 SFB Adaptive Information Systems and Modelling in Economics and Management Science Wien, Wirtschaftsuniv., 1998 Daten im WU Online-Katalog | Nutzungsstatistik | Dokument ID: oai:epub.wu-wien.ac.at:epub-wu-01_223 Volltext Download 17 Seiten/975 kB © Urheberrechtshinweis Sie wollen einen permanenten Link direkt zu diesem Dokument, um ihn z.B. auf Ihrer Webseite zu platzieren? Benutzen Sie: http://epub.wu-wien.ac.at/dyn/openURL?id=oai:epub.wu-wien.ac.at:epub-wu-01_223  Abstract: Jeffrey proposed a graphic representation of DNA sequences using Barnsley's iterative function systems. In spite of further developments in this direction (Oliver et. al, 1993), (Roman-Roldan et. al, 1994), (Li, 1997), the proposed graphic representation of DNA sequences has been lacking a rigorous connection between its spatial scaling characteristics and the statistical characteristics of the DNA sequences themselves. We 1) generalize Jeffrey's graphic representation to accommodate (possibly infinite) sequences over an arbitrary finite number of symbols, 2) establish a direct correspondence between the statistical characterization of symbolic sequences via Renyi entropy spectra and the multifractal characteristics (Renyi generalized dimensions) of the sequences' spatial representations, 3) show that for general symbolic dynamical systems, the multifractal fH-spectra in the sequence space coincide with the fH-spectra on spatial sequence representations. (author's abstract)  Schlagworte: Sequenz / Graphische Darstellung / Iteration © 2009 Universitätsbibliothek, WU | Technologie und Infrastruktur: Inst. f. Informationswirtschaft | Erstellt für Sie am: 9.2.2010