Let be a \u85nitely generated group acting by probability measure preserving maps on the standard Borel space (X;). We show that if H is a subgroup with relative spectral radius greater than the global spectral radius of the action, then H acts with nitely many ergodic components and spectral gap on (X;). This answers a question of Shalom who proved this for normal subgroups.
Abért and Weiss have shown that the Bernoulli shift s_Γ of a countably infinite group Γ is weakly co...
International audienceWe study probability measure preserving (p.m.p.) non-free actions of free grou...
In this note we give a short proof of a pointwise ergodic theorem for measure-preserving actions of ...
International audienceLet X be a solenoid, that is, a compact finite dimensional connected abelian g...
International audienceWe introduce a novel notion of local spectral gap for general, possibly infini...
International audienceActions of a locally compact group G on a measure space X give rise to unitary...
The purpose of this dissertation is to study some new notions of equivalenceof measure preserving gr...
PhD (Mathematics), North-West University, Potchefstroom Campus, 2014This thesis is an account of our...
This thesis is a contribution to the theory of measurable actions of discrete groups on standard pro...
Let H=H<SUP>n</SUP>=C<SUP>n</SUP>×R denote the Heisenberg group, and let σ<SUB>r</SUB> denote the no...
AbstractLetH=Hn=Cn×R denote the Heisenberg group, and letσrdenote the normalized Lebesgue measure on...
International audienceLet $(X, \cal B, \nu)$ be a probability space and let $\Gamma$ be a countable ...
We show that given any subgroup F of R_+ which is either countable or belongs to a certain large cla...
Surveying some of the recent developments on approximate subgroups and super-strong approximation fo...
AbstractLet G be a finitely generated group and G▷G1▷G2▷⋯ be normal subgroups such that ⋂k=1∞Gk={1}....
Abért and Weiss have shown that the Bernoulli shift s_Γ of a countably infinite group Γ is weakly co...
International audienceWe study probability measure preserving (p.m.p.) non-free actions of free grou...
In this note we give a short proof of a pointwise ergodic theorem for measure-preserving actions of ...
International audienceLet X be a solenoid, that is, a compact finite dimensional connected abelian g...
International audienceWe introduce a novel notion of local spectral gap for general, possibly infini...
International audienceActions of a locally compact group G on a measure space X give rise to unitary...
The purpose of this dissertation is to study some new notions of equivalenceof measure preserving gr...
PhD (Mathematics), North-West University, Potchefstroom Campus, 2014This thesis is an account of our...
This thesis is a contribution to the theory of measurable actions of discrete groups on standard pro...
Let H=H<SUP>n</SUP>=C<SUP>n</SUP>×R denote the Heisenberg group, and let σ<SUB>r</SUB> denote the no...
AbstractLetH=Hn=Cn×R denote the Heisenberg group, and letσrdenote the normalized Lebesgue measure on...
International audienceLet $(X, \cal B, \nu)$ be a probability space and let $\Gamma$ be a countable ...
We show that given any subgroup F of R_+ which is either countable or belongs to a certain large cla...
Surveying some of the recent developments on approximate subgroups and super-strong approximation fo...
AbstractLet G be a finitely generated group and G▷G1▷G2▷⋯ be normal subgroups such that ⋂k=1∞Gk={1}....
Abért and Weiss have shown that the Bernoulli shift s_Γ of a countably infinite group Γ is weakly co...
International audienceWe study probability measure preserving (p.m.p.) non-free actions of free grou...
In this note we give a short proof of a pointwise ergodic theorem for measure-preserving actions of ...