We study in this paper some combinatorial invariants associated with ergodic actions of infinite, countable (discrete) groups. Let (X,µ) be a standard probability space and Γ an infinite, countable group with a set of generators 1 / ∈ S ⊆ Γ. Given a free, measure-preservin
AbstractWe study the basic ergodic properties (ergodicity and conservativity) of the action of an ar...
We show that given any subgroup F of R_+ which is either countable or belongs to a certain large cla...
In this paper we study the action of a countable group $\Gamma$ on the space of orders on the group....
We study in this paper combinatorial problems concerning graphs generated by measure preserving acti...
The class of ergodic, invariant probability Borel measure for the shift action of a countable group ...
Abstract. We prove the following finite generator theorem. Let G be a count-able group acting ergodi...
This book provides an introduction to the ergodic theory and topological dynamics of actions of coun...
Abstract. The group S ∞ acts via the logic action on the space of count-able structures in a given c...
The purpose of this note is to prove various versions of the ergodic decomposition theorem for proba...
In this dissertation we study problems related to colorings of combinatorial structures both in the ...
Abstract. In this paper we study a class of measures, called harmonic mea-sures, that one can associ...
Let G be a countably infinite group, and let µ be a generating probability measure on G. We study th...
International audienceThe aim of this paper is to prove ergodic decomposition theo- rems for probabi...
We present a new approach to the proof of ergodic theorems for ac-tions of free groups which general...
We show that every non-amenable free product of groups admits free ergodic probability measure pre-s...
AbstractWe study the basic ergodic properties (ergodicity and conservativity) of the action of an ar...
We show that given any subgroup F of R_+ which is either countable or belongs to a certain large cla...
In this paper we study the action of a countable group $\Gamma$ on the space of orders on the group....
We study in this paper combinatorial problems concerning graphs generated by measure preserving acti...
The class of ergodic, invariant probability Borel measure for the shift action of a countable group ...
Abstract. We prove the following finite generator theorem. Let G be a count-able group acting ergodi...
This book provides an introduction to the ergodic theory and topological dynamics of actions of coun...
Abstract. The group S ∞ acts via the logic action on the space of count-able structures in a given c...
The purpose of this note is to prove various versions of the ergodic decomposition theorem for proba...
In this dissertation we study problems related to colorings of combinatorial structures both in the ...
Abstract. In this paper we study a class of measures, called harmonic mea-sures, that one can associ...
Let G be a countably infinite group, and let µ be a generating probability measure on G. We study th...
International audienceThe aim of this paper is to prove ergodic decomposition theo- rems for probabi...
We present a new approach to the proof of ergodic theorems for ac-tions of free groups which general...
We show that every non-amenable free product of groups admits free ergodic probability measure pre-s...
AbstractWe study the basic ergodic properties (ergodicity and conservativity) of the action of an ar...
We show that given any subgroup F of R_+ which is either countable or belongs to a certain large cla...
In this paper we study the action of a countable group $\Gamma$ on the space of orders on the group....