Add to ORKGWe study the sequence entropy for amenable group actions and investigate systematically spectrum and several mixing concepts via sequence entropy both in measure-theoretic dynamical systems and topological dynamical systems. Moreover, we use sequence entropy pairs to characterize weakly mixing and null systems
Let G be a finitely generated amenable group. We study the space of shifts on G over a given finite ...
It is well-known that the classical definition of topological entropy for group and semigroup action...
In this paper we introduce a notion of measure theoretical entropy for a finitely generated free sem...
We characterize measure-theoretic sequence entropy pairs of continuous abelian group actions using m...
AbstractThe local properties of entropy for a countable discrete amenable group action are studied. ...
Let X be a compact metric space and G a countable infinite discrete amenable group acting on X. Like...
Abstract. Bowen introduced a definition of topological entropy of subset inspired by Hausdorff dimen...
Properties of measurable and topological dynamics often have been studied together[11, 12, 18]. It i...
We consider a definition of entropy for discrete amenable action groups and extend the equality betw...
A probability measure is a characteristic measure of a topological dynamical system if it is invaria...
Abstract. If a countable amenable group G contains an infinite subgroup 0, one may define, from a me...
Entropy was introduced first in thermodynamics and statistical mechanics, as well as information the...
In this paper, the notion of directional weak mixing system is defined. Analogous to $\mathbb{Z}$-ac...
This thesis is dedicated to studying the theory of entropy and its relation to the Kolmogorov comple...
La dimension topologique moyenne est un invariant numérique d'actions de groupes moyennables introdu...
Let G be a finitely generated amenable group. We study the space of shifts on G over a given finite ...
It is well-known that the classical definition of topological entropy for group and semigroup action...
In this paper we introduce a notion of measure theoretical entropy for a finitely generated free sem...
We characterize measure-theoretic sequence entropy pairs of continuous abelian group actions using m...
AbstractThe local properties of entropy for a countable discrete amenable group action are studied. ...
Let X be a compact metric space and G a countable infinite discrete amenable group acting on X. Like...
Abstract. Bowen introduced a definition of topological entropy of subset inspired by Hausdorff dimen...
Properties of measurable and topological dynamics often have been studied together[11, 12, 18]. It i...
We consider a definition of entropy for discrete amenable action groups and extend the equality betw...
A probability measure is a characteristic measure of a topological dynamical system if it is invaria...
Abstract. If a countable amenable group G contains an infinite subgroup 0, one may define, from a me...
Entropy was introduced first in thermodynamics and statistical mechanics, as well as information the...
In this paper, the notion of directional weak mixing system is defined. Analogous to $\mathbb{Z}$-ac...
This thesis is dedicated to studying the theory of entropy and its relation to the Kolmogorov comple...
La dimension topologique moyenne est un invariant numérique d'actions de groupes moyennables introdu...
Let G be a finitely generated amenable group. We study the space of shifts on G over a given finite ...
It is well-known that the classical definition of topological entropy for group and semigroup action...
In this paper we introduce a notion of measure theoretical entropy for a finitely generated free sem...