Add to ORKGWe study a measure entropy for finitely generated free group actions called f-invariant entropy. The f-invariant entropy was developed by L. Bowen and is essentially a special case of his measure entropy theory for actions of sofic groups. In this paper we relate the f-invariant entropy of a finitely generated free group action to the f-invariant entropy of the restricted action of a subgroup. We show that the ratio of these entropies equals the index of the subgroup. This generalizes a well-known formula for the Kolmogorov–Sinai entropy of amenable group actions. We then extend the definition of f-invariant entropy to actions of finitely generated virtually free groups. We also obtain a numerical virtual measure conjugacy invariant for act...
In this paper we introduce a notion of measure theoretical entropy for a finitely generated free sem...
In 1987, Ornstein and Weiss discovered that the Bernoulli $2$-shift over the rank two free group fac...
We consider the entropy of systems of random transformations, where the transformations are chosen f...
AbstractWe show that the classical notion of entropy of a finitely generated group G as introduced b...
Sofic entropy is an isomorphism invariant of measure-preserving actions of sofic groups introduced b...
The $f$-invariant is a notion of entropy for probability-measure-preserving actions of free groups. ...
This paper is concerned with the entropy of an action of a countable torsion-free abelian group G by...
In general orbit equivalence between free measure-preserving actions of countably infinite groups on...
AbstractRecently Lewis Bowen introduced a notion of entropy for measure-preserving actions of counta...
We prove that, for a measure preserving action of a sofic group with positive sofic entropy, the sta...
Given a countable amenable group $G$ one can ask which are the real numbers that can be realized as...
Abstract. Bowen introduced a definition of topological entropy of subset inspired by Hausdorff dimen...
It is well-known that the classical definition of topological entropy for group and semigroup action...
Let X be a compact metric space and G a countable infinite discrete amenable group acting on X. Like...
AbstractThe local properties of entropy for a countable discrete amenable group action are studied. ...
In this paper we introduce a notion of measure theoretical entropy for a finitely generated free sem...
In 1987, Ornstein and Weiss discovered that the Bernoulli $2$-shift over the rank two free group fac...
We consider the entropy of systems of random transformations, where the transformations are chosen f...
AbstractWe show that the classical notion of entropy of a finitely generated group G as introduced b...
Sofic entropy is an isomorphism invariant of measure-preserving actions of sofic groups introduced b...
The $f$-invariant is a notion of entropy for probability-measure-preserving actions of free groups. ...
This paper is concerned with the entropy of an action of a countable torsion-free abelian group G by...
In general orbit equivalence between free measure-preserving actions of countably infinite groups on...
AbstractRecently Lewis Bowen introduced a notion of entropy for measure-preserving actions of counta...
We prove that, for a measure preserving action of a sofic group with positive sofic entropy, the sta...
Given a countable amenable group $G$ one can ask which are the real numbers that can be realized as...
Abstract. Bowen introduced a definition of topological entropy of subset inspired by Hausdorff dimen...
It is well-known that the classical definition of topological entropy for group and semigroup action...
Let X be a compact metric space and G a countable infinite discrete amenable group acting on X. Like...
AbstractThe local properties of entropy for a countable discrete amenable group action are studied. ...
In this paper we introduce a notion of measure theoretical entropy for a finitely generated free sem...
In 1987, Ornstein and Weiss discovered that the Bernoulli $2$-shift over the rank two free group fac...
We consider the entropy of systems of random transformations, where the transformations are chosen f...