8 pages, 1 figureInternational audienceWe completely elucidate the relationship between two invariants associated with an ergodic probability measure-preserving (pmp) equivalence relation, namely its cost and the minimal number of topological generators of its full group. It follows that for any free pmp ergodic action of the free group on $n$ generators, the minimal number of topological generators for the full group of the action is $n+1$, answering a question of Kechris
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed ...
This thesis is a contribution to the theory of measurable actions of discrete groups on standard pro...
Abstract: The goal of this series of lectures is to present an overview of the theory of orbit equiv...
We study full groups of countable, measure-preserving equivalence relations. Our main results includ...
We give a formula relating the topological rank of the full group of an aperiodic pmp equivalence re...
This article generalizes our previous results [Le Maître. The number of topological generators for f...
We study probability measure preserving (p.m.p.) non-free actions of free groups and the associated ...
Building on work of Popa, Ioana, and Epstein--Törnquist, we show that, for every nonamenable countab...
Improvement in the presentation of the replacement trick. Introduction of compressions for non-ergod...
Let (X,μ) be a standard probability space and Γ a countable group acting on X in a measure preservin...
This thesis is at the intersection of dynamics, combinatorics and probability theory. My work focuse...
The three problems refered to in the title of this thesis are investigated in three sections, which ...
Part 1: Consider a continuous action of a countable group G on a Polish space X. A countable Borel p...
My research falls into the areas of group theory, dynamical systems, and descriptive set theory. I s...
AbstractA treeable ergodic equivalence relation of integer cost is generated by a free action of the...
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed ...
This thesis is a contribution to the theory of measurable actions of discrete groups on standard pro...
Abstract: The goal of this series of lectures is to present an overview of the theory of orbit equiv...
We study full groups of countable, measure-preserving equivalence relations. Our main results includ...
We give a formula relating the topological rank of the full group of an aperiodic pmp equivalence re...
This article generalizes our previous results [Le Maître. The number of topological generators for f...
We study probability measure preserving (p.m.p.) non-free actions of free groups and the associated ...
Building on work of Popa, Ioana, and Epstein--Törnquist, we show that, for every nonamenable countab...
Improvement in the presentation of the replacement trick. Introduction of compressions for non-ergod...
Let (X,μ) be a standard probability space and Γ a countable group acting on X in a measure preservin...
This thesis is at the intersection of dynamics, combinatorics and probability theory. My work focuse...
The three problems refered to in the title of this thesis are investigated in three sections, which ...
Part 1: Consider a continuous action of a countable group G on a Polish space X. A countable Borel p...
My research falls into the areas of group theory, dynamical systems, and descriptive set theory. I s...
AbstractA treeable ergodic equivalence relation of integer cost is generated by a free action of the...
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed ...
This thesis is a contribution to the theory of measurable actions of discrete groups on standard pro...
Abstract: The goal of this series of lectures is to present an overview of the theory of orbit equiv...