Metric Entropy of Nonautonomous Dynamical Systems

  • We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence of probability spaces and a sequence of measure-preserving maps between them. This notion generalizes the classical concept of metric entropy established by Kolmogorov and Sinai, and is related via a variational inequality to the topological entropy of nonautonomous systems as defined by Kolyada, Misiurewicz and Snoha.

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Metadaten
Author:Christoph KawanGND
URN:urn:nbn:de:bvb:384-opus4-23232
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/2323
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2013-09)
Type:Preprint
Language:English
Publishing Institution:Universität Augsburg
Release Date:2013/04/25
Tag:nonautonomous dynamical systems; metric entropy; topological entropy
GND-Keyword:Dynamisches System; Nichtautonomes System; Entropie
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoDeutsches Urheberrecht