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