19 citations · 39 across the 8 of their papers we have counts for
10 papers
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…
Asymptotically Hilbertian Modular Banach Spaces: Examples of Uncountable Categoricity
C. Ward Henson, Yves Raynaud
We give a criterion ensuring that the elementary class of a modular Banach space E (that is, the class of Banach spaces, some ultrapower of which is linearly isometric to an ultrap…
Generic orbits and type isolation in the Gurarij space
Itaï Ben Yaacov, C. Ward Henson
We study the question of when the space of embeddings of a separable Banach space into the separable Gurarij space admits a generic orbit under the action of the li…
Nonstandard analysis of the behavior of ergodic means of dynamical systems on very big finite probability spaces
E. I. Gordon, L. Yu. Glebsky, C. W. Henson
The trivial proof of the ergodic theorem for a finite set and a permutation shows that for an arbitrary function the sequence of ergodic means $A…