Metric Entropy of Nonautonomous Dynamical Systems

• Autorzy: Christoph Kawan
• Języki publikacji: EN

Abstrakty

EN

We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence (Xn, μn) of probability spaces and a sequence of measurable maps fn : Xn → Xn+1 with fnμn = μn+1. 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. Moreover, it shares several properties with the classical notion of metric entropy. In particular, invariance with respect to appropriately defined isomorphisms, a power rule, and a Rokhlin-type inequality are proved.

Słowa kluczowe

EN

Nonautonomous dynamical systems; topological entropy; metric entropy; variational principle

Kategorie tematyczne

• 37B55: Nonautonomous dynamical systems
• 37A05: Measure-preserving transformations
• 37A35: Entropy and other invariants, isomorphism, classification

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2014
• Tom: 1

Daty

otrzymano

2013-05-24

zaakceptowano

2013-06-24

online

2013-07-10

Twórcy

autor

Christoph Kawan

• Institut für Mathematik, Universität Augsburg,
  86159 Augsburg, Germany

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Identyfikatory

DOI

10.2478/msds-2013-0003