Add to ORKGThe notions of expansive measures; expansive, positively expansive, measure-expansive, countably expansive and continuum-wise homeomorphisms are well known for the deterministic case. In this paper, we extend these notions to the random context and prove that some of them are particular cases of others and some of them are equivalents. Also, we show that every ergodic probability with positive entropy is positively random expansive
. By a result of F. Hofbauer [11], piecewise monotonic maps of the interval can be identified with ...
We show that $C^\infty$ surface diffeomorphisms with positive topological entropy have at most finit...
summary:We study countable partitions for measurable maps on measure spaces such that, for every poi...
AbstractWe introduce the notions of weakly and strongly positively expansive (wPE and sPE, respectiv...
It is well-known that when a positively expansive dynamical system is invertible then its underlying...
In this paper, we consider positively weak measure expansive homeomorphisms and flows with the shado...
Abstract. We introduce the notion of topologically positively expansive dynamical systems and compar...
. A. Lasota and J. A. Yorke [19] proved that a piecewise expanding interval map admits finitely many...
In this work, we describe a number of methods of constructing probability measures on spaces of home...
For random compositions of independent and identically distributed measurable maps on a Polish space...
For a Polish Sample Space with a Borel σ-field with a surjective measurable transformation, we defin...
Keywords. Greedy expansions, lazy expansions, absolutely continuous invariant measures, measures of...
The theory of random dynamical systems originated from stochastic differential equations. It is inte...
We construct ergodic probability measures with infinite metric entropy for typical continuous maps a...
Since seminal work of Bowen [2], it has been known that the specification property implies various u...
. By a result of F. Hofbauer [11], piecewise monotonic maps of the interval can be identified with ...
We show that $C^\infty$ surface diffeomorphisms with positive topological entropy have at most finit...
summary:We study countable partitions for measurable maps on measure spaces such that, for every poi...
AbstractWe introduce the notions of weakly and strongly positively expansive (wPE and sPE, respectiv...
It is well-known that when a positively expansive dynamical system is invertible then its underlying...
In this paper, we consider positively weak measure expansive homeomorphisms and flows with the shado...
Abstract. We introduce the notion of topologically positively expansive dynamical systems and compar...
. A. Lasota and J. A. Yorke [19] proved that a piecewise expanding interval map admits finitely many...
In this work, we describe a number of methods of constructing probability measures on spaces of home...
For random compositions of independent and identically distributed measurable maps on a Polish space...
For a Polish Sample Space with a Borel σ-field with a surjective measurable transformation, we defin...
Keywords. Greedy expansions, lazy expansions, absolutely continuous invariant measures, measures of...
The theory of random dynamical systems originated from stochastic differential equations. It is inte...
We construct ergodic probability measures with infinite metric entropy for typical continuous maps a...
Since seminal work of Bowen [2], it has been known that the specification property implies various u...
. By a result of F. Hofbauer [11], piecewise monotonic maps of the interval can be identified with ...
We show that $C^\infty$ surface diffeomorphisms with positive topological entropy have at most finit...
summary:We study countable partitions for measurable maps on measure spaces such that, for every poi...