4 papers · 1 filter
Relative Property (T), simplices of invariant measures, and existentially closed models
Tomás Ibarlucía
We prove a Bauer-Poulsen dichotomy theorem for simplices of invariant measures associated with permutation groups. More precisely, let be a transitive group of permutations of…
Existentially closed measure-preserving actions of free groups
Alexander Berenstein, C. Ward Henson, Tomás Ibarlucía
This paper is motivated by the study of probability measure-preserving (pmp) actions of free groups using continuous model theory. Such an action is treated as a metric structure t…
Approximate isomorphism of randomization pairs
James Hanson, Tomás Ibarlucía
We study approximate -categoricity of theories of beautiful pairs of randomizations, in the sense of continuous logic. This leads us to disprove a conjecture of Ben Yaaco…
Eberlein oligomorphic groups
Itaï Ben Yaacov, Tomás Ibarlucía, Todor Tsankov
We study the Fourier--Stieltjes algebra of Roelcke precompact, non-archimedean, Polish groups and give a model-theoretic description of the Hilbert compactification of these groups…