Abstract. We prove the following finite generator theorem. Let G be a count-able group acting ergodically on a standard probability space. Suppose this action admits a generating partition having finite Shannon entropy. Then the action admits a finite generating partition. We also discuss relationships between generating partitions and f-invariant and sofic entropies. 1
Abstract. We prove the following mean ergodic theorem: for any two commuting measure pre-serving act...
The purpose of this note is to prove various versions of the ergodic decomposition theorem for proba...
Abstract. If a countable amenable group G contains an infinite subgroup 0, one may define, from a me...
For an ergodic probability-measure-preserving action of a countable group G, we define the Rokhlin e...
Proceedings, pp. 386—394 One of the important concepts in physics and mathematics is entropy. The co...
We study in this paper some combinatorial invariants associated with ergodic actions of infinite, co...
Part 1: Consider a continuous action of a countable group G on a Polish space X. A countable Borel p...
We study a measure entropy for finitely generated free group actions called f-invariant entropy. The...
Abstract. It is well known that if G is a countable amenable group and G y (Y, ν) factors onto Gy (X...
This book provides an introduction to the ergodic theory and topological dynamics of actions of coun...
I will show that if a free ergodic action of a countable group has positive Rokhlin entropy (or, les...
Given a countable amenable group $G$ one can ask which are the real numbers that can be realized as...
AbstractRecently Lewis Bowen introduced a notion of entropy for measure-preserving actions of counta...
Abstract. Let (G,µ) be a discrete group with a generating probability mea-sure. Nevo shows that if G...
Abstract. We define a notion of entropy for an infinite family C of measurable sets in a probability...
Abstract. We prove the following mean ergodic theorem: for any two commuting measure pre-serving act...
The purpose of this note is to prove various versions of the ergodic decomposition theorem for proba...
Abstract. If a countable amenable group G contains an infinite subgroup 0, one may define, from a me...
For an ergodic probability-measure-preserving action of a countable group G, we define the Rokhlin e...
Proceedings, pp. 386—394 One of the important concepts in physics and mathematics is entropy. The co...
We study in this paper some combinatorial invariants associated with ergodic actions of infinite, co...
Part 1: Consider a continuous action of a countable group G on a Polish space X. A countable Borel p...
We study a measure entropy for finitely generated free group actions called f-invariant entropy. The...
Abstract. It is well known that if G is a countable amenable group and G y (Y, ν) factors onto Gy (X...
This book provides an introduction to the ergodic theory and topological dynamics of actions of coun...
I will show that if a free ergodic action of a countable group has positive Rokhlin entropy (or, les...
Given a countable amenable group $G$ one can ask which are the real numbers that can be realized as...
AbstractRecently Lewis Bowen introduced a notion of entropy for measure-preserving actions of counta...
Abstract. Let (G,µ) be a discrete group with a generating probability mea-sure. Nevo shows that if G...
Abstract. We define a notion of entropy for an infinite family C of measurable sets in a probability...
Abstract. We prove the following mean ergodic theorem: for any two commuting measure pre-serving act...
The purpose of this note is to prove various versions of the ergodic decomposition theorem for proba...
Abstract. If a countable amenable group G contains an infinite subgroup 0, one may define, from a me...
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