9 citations · 25 across the 13 of their papers we have counts for
4 papers · 1 filter
Weak containment of measure preserving group actions
Peter Burton, Alexander S. Kechris
We survey recent progress in the theory of weak containment of measure preserving group actions.
Invariant random subgroups and action versus representation maximality
Peter J. Burton, Alexander S. Kechris
We show that weak containment of free ergodic measure-preserving actions of is not equivalent to weak containment of the corresponding Koopman representations.…
Random Orderings and Unique Ergodicity of Automorphism Groups
Omer Angel, Alexander S. Kechris, Russell Lyons
We show that the only random orderings of finite graphs that are invariant under isomorphism and induced subgraph are the uniform random orderings. We show how this implies the uni…
Subequivalence Relations and Positive-Definite Functions
A. Ioana, A. S. Kechris, T. Tsankov
We study a positive-definite function associated to a measure-preserving equivalence relation on a standard probability space and use it to measure quantitatively the proximity of…