19 citations · 70 across the 15 of their papers we have counts for
18 papers
Model theory of convolution algebras
Alexander Berenstein, Kyle Gannon, Shichang Song
This paper deals with the model theory of convolution algebras for locally compact groups , seen as Banach lattices equipped with the convolution product . We fi…
Dense-codense expansions of quasiminimal pregeometry structures
Alexander Berenstein, Evgueni Vassiliev
We study expansions of quasiminimal pregeometry structures with a dense codense unary predicate and their relation with the complexity properties of the pregeometry of the underlyi…
Model theory of probability spaces
Alexander Berenstein, C. Ward Henson
This expository paper treats the model theory of probability spaces using the framework of continuous -valued first order logic. The metric structures discussed, which we ca…
SB-property on metric structures
Camilo Argoty, Alexander Berenstein, Nicolas Cuervo Ovalle
A complete theory has the Schröder-Bernstein property or simply the SB-property if any pair of elementarily bi-embeddable models are isomorphic. This property has been studied…
Vector spaces with a dense-codense generic submodule
Alexander Berenstein, Christian d'Elbée, Evgueni Vassiliev
We study expansions of a vector space over a field , possibly with extra structure, with a generic submodule over a subring of . We construct a natural ex…
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…