Let G be a countable discrete sofic group. We define a concept of uniform mixing for measure-preserving G-actions and show that it implies completely positive sofic entropy. When G contains an element of infinite order, we use this to produce an uncountable family of pairwise nonisomorphic G-actions with completely positive sofic entropy. None of our examples is a factor of a Bernoulli shift
Abstract. We define a notion of entropy for an infinite family C of measurable sets in a probability...
Abstract. It is well known that if G is a countable amenable group and G y (Y, ν) factors onto Gy (X...
This thesis is a contribution to the theory of measurable actions of discrete groups on standard pro...
Let G be a countable discrete sofic group. We define a concept of uniform mixing for measure-preserv...
Sofic entropy is an isomorphism invariant of measure-preserving actions of sofic groups introduced b...
AbstractRecently Lewis Bowen introduced a notion of entropy for measure-preserving actions of counta...
In the past decade entropy theory for the actions of countable sofic groups has been developed start...
We prove that, for a measure preserving action of a sofic group with positive sofic entropy, the sta...
AbstractThe local properties of entropy for a countable discrete amenable group action are studied. ...
Bowen’s notion of sofic entropy is a powerful invariant for classifying probability-preserving actio...
I will show that if a free ergodic action of a countable group has positive Rokhlin entropy (or, les...
In general orbit equivalence between free measure-preserving actions of countably infinite groups on...
We study the sequence entropy for amenable group actions and investigate systematically spectrum and...
A sofic approximation to a countable group is a sequence of partial actions on finite sets that asym...
Let $G$ be a countable infinite discrete amenable group.It should be noted that a $G$-system $(X,G)$...
Abstract. We define a notion of entropy for an infinite family C of measurable sets in a probability...
Abstract. It is well known that if G is a countable amenable group and G y (Y, ν) factors onto Gy (X...
This thesis is a contribution to the theory of measurable actions of discrete groups on standard pro...
Let G be a countable discrete sofic group. We define a concept of uniform mixing for measure-preserv...
Sofic entropy is an isomorphism invariant of measure-preserving actions of sofic groups introduced b...
AbstractRecently Lewis Bowen introduced a notion of entropy for measure-preserving actions of counta...
In the past decade entropy theory for the actions of countable sofic groups has been developed start...
We prove that, for a measure preserving action of a sofic group with positive sofic entropy, the sta...
AbstractThe local properties of entropy for a countable discrete amenable group action are studied. ...
Bowen’s notion of sofic entropy is a powerful invariant for classifying probability-preserving actio...
I will show that if a free ergodic action of a countable group has positive Rokhlin entropy (or, les...
In general orbit equivalence between free measure-preserving actions of countably infinite groups on...
We study the sequence entropy for amenable group actions and investigate systematically spectrum and...
A sofic approximation to a countable group is a sequence of partial actions on finite sets that asym...
Let $G$ be a countable infinite discrete amenable group.It should be noted that a $G$-system $(X,G)$...
Abstract. We define a notion of entropy for an infinite family C of measurable sets in a probability...
Abstract. It is well known that if G is a countable amenable group and G y (Y, ν) factors onto Gy (X...
This thesis is a contribution to the theory of measurable actions of discrete groups on standard pro...