19 citations · 39 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
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…
Model Theory of R-trees
Sylvia Carlisle, C Ward Henson
We show the theory of pointed -trees with radius at most is axiomatizable in a suitable continuous signature. We identify the model companion $\rbRT_r$ of this theory and s…
Model-theoretic independence in the Banach lattices
Itaï Ben Yaacov, Alexander Berenstein, C. Ward Henson
We study model-theoretic stability and independence in Banach lattices of the form , where . We characterize non-dividing using concepts from analysi…
Almost indiscernible sequences and convergence of canonical bases
Itaï Ben Yaacov, Alexander Berenstein, C. Ward Henson
We give a model-theoretic account for several results regarding sequences of random variables appearing in Berkes & Rosenthal \cite{Berkes-Rosenthal:AlmostExchangeableSequences}. I…
Model theory of probability spaces with an automorphism
Alexander Berenstein, C. Ward Henson
The class of generic structures among those consisting of the measure algebra of a probability space equipped with an automorphism is axiomatizable by positive sentences interprete…