Add to ORKGWe 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
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
We consider dynamical systems for which the spatial extension plays an important role. For these sys...
Abstract. Recently the notions of entropy dimension for topological dynam-ical system and measure th...
We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence o...
In this thesis we study topological entropy as an invariant of topological dynamical systems. The fi...
Discrete dynamical systems are given by the pair (X, f ) where X is a compact metric space and f : X...
Abstract. The notion of metric entropy dimension is introduced to measure the complexity of entropy ...
Includes bibliographical references (pages [379]-385) and index.xii, 391 pages ;"This comprehensive ...
In this paper the notion of a relative metric space, as a mathematical model compatible with a physi...
Abstract The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput....
Abstract. Let (X, d, T) be a dynamical system, where (X, d) is a compact metric space and T: X → X a...
We study dynamical systems using measures taking values in a non-Archimedean field. The underlying s...
Consider a random cocycle Phi on a separable in finite-dimensional Hilbert space preserving a probab...
Let $f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ be a sequence of continuous self-maps on a compact metric ...
Abstract: The key idea here is borrowed from dimension theory. The starting point is a new concept w...
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
We consider dynamical systems for which the spatial extension plays an important role. For these sys...
Abstract. Recently the notions of entropy dimension for topological dynam-ical system and measure th...
We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence o...
In this thesis we study topological entropy as an invariant of topological dynamical systems. The fi...
Discrete dynamical systems are given by the pair (X, f ) where X is a compact metric space and f : X...
Abstract. The notion of metric entropy dimension is introduced to measure the complexity of entropy ...
Includes bibliographical references (pages [379]-385) and index.xii, 391 pages ;"This comprehensive ...
In this paper the notion of a relative metric space, as a mathematical model compatible with a physi...
Abstract The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput....
Abstract. Let (X, d, T) be a dynamical system, where (X, d) is a compact metric space and T: X → X a...
We study dynamical systems using measures taking values in a non-Archimedean field. The underlying s...
Consider a random cocycle Phi on a separable in finite-dimensional Hilbert space preserving a probab...
Let $f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ be a sequence of continuous self-maps on a compact metric ...
Abstract: The key idea here is borrowed from dimension theory. The starting point is a new concept w...
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
We consider dynamical systems for which the spatial extension plays an important role. For these sys...
Abstract. Recently the notions of entropy dimension for topological dynam-ical system and measure th...