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pro vyhledávání: '"Henson, C. Ward"'
Autor:
Berenstein, Alexander, Henson, C. Ward
This expository paper treats the model theory of probability spaces using the framework of continuous $[0,1]$-valued first order logic. The metric structures discussed, which we call probability algebras, are obtained from probability spaces by ident
Externí odkaz:
http://arxiv.org/abs/2302.01519
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 that consists of the measure algebra of the probability measure space e
Externí odkaz:
http://arxiv.org/abs/2203.10178
Autor:
Carlisle, Sylvia, Henson, C Ward
Publikováno v:
Journal of Logic and Analysis, vol. 13, paper 3 (2020) 1-51
We show the theory of pointed $\R$-trees with radius at most $r$ is axiomatizable in a suitable continuous signature. We identify the model companion $\rbRT_r$ of this theory and study its properties. In particular, the model companion is complete an
Externí odkaz:
http://arxiv.org/abs/1810.00242
Autor:
Henson, C. Ward, Raynaud, Yves
Publikováno v:
Comment. Math. 56 (2016), no. 1, 119-144
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 ultrapower of E) consists of all direct sums E\oplus_m H, where H is an arbi
Externí odkaz:
http://arxiv.org/abs/1606.03122
Akademický článek
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Autor:
Yaacov, Itaï Ben, Henson, C. Ward
We study the question of when the space of embeddings of a separable Banach space $E$ into the separable Gurarij space $\mathbf G$ admits a generic orbit under the action of the linear isometry group of $\mathbf G$. The question is recast in model-th
Externí odkaz:
http://arxiv.org/abs/1211.4814
Publikováno v:
Isra\"el Journal of Mathematics 183 (2011) 285-320
We study model-theoretic stability and independence in Banach lattices of the form $L_p(X,U,\mu)$, where $1 \leq p < \infty$. We characterize non-dividing using concepts from analysis and show that canonical bases exist as tuples of real elements.
Externí odkaz:
http://arxiv.org/abs/0907.5273
We give a model-theoretic account for several results regarding sequences of random variables appearing in Berkes & Rosenthal \cite{Berkes-Rosenthal:AlmostExchangeableSequences}. In order to do this, {itemize} We study and compare three notions of co
Externí odkaz:
http://arxiv.org/abs/0907.4508
Autor:
Berenstein, Alexander, Henson, C. Ward
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 interpreted using an approximate semantics. The separable generic structures of
Externí odkaz:
http://arxiv.org/abs/math/0405360
Publikováno v:
The Journal of Symbolic Logic, 2014 Jun 01. 79(2), 460-484.
Externí odkaz:
https://www.jstor.org/stable/43303743
