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- Title
Entropy production,information gain and Lyapunov exponents of random hyperbolic dynamical systems.
- Authors
Da-Quan Jiang; Min Qian; Min-Ping Qian, Kenneth J.
- Abstract
In this paper we introduce the concept of specific information gain (or specific relative entropy)for random subshifts of finite type and random dynamical systems generated by small diffeomorphism-type perturbations of an Axiom-A basic set of a deterministic diffeomorphism.With this notion,we discuss in this special situation of random hyperbolic dynamical systems the measure-theoretic basis of the definition of the entropy production rate proposed by Ruelle for general random dynamical systems.
- Subjects
RANDOM dynamical systems; ENTROPY; LYAPUNOV exponents; DIFFEOMORPHISMS; DIFFERENTIABLE dynamical systems
- Publication
Forum Mathematicum, 2004, Vol 16, Issue 2, p281
- ISSN
0933-7741
- Publication type
Article