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pro vyhledávání: '"Henson C"'
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
Akademický článek
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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
The trivial proof of the ergodic theorem for a finite set $Y$ and a permutation $T:Y\to Y$ shows that for an arbitrary function $f:Y\to{\mathbb R}$ the sequence of ergodic means $A_n(f,T)$ stabilizes for $n \gg |T|$. We show that if $|Y|$ is very lar
Externí odkaz:
http://arxiv.org/abs/1201.5671
Although the G.Birkhoff Ergodic Theorem (BET) is trivial for finite spaces, this does not help in proving it for hyperfinite Loeb spaces. The proof of the BET for this case, suggested by T. Kamae, works, actually, for arbitrary probability spaces, as
Externí odkaz:
http://arxiv.org/abs/1104.0237
Autor:
Fechner, M., Henson, C., Gaffiot, J., Lasserre, T., Letourneau, A., Lhuillier, D., Mention, G., Mueller, Th. A., Quéval, R., Svoboda, R.
We present the use of a low background counting facility, equipped with a p-type 80% relative efficiency HPGe detector, protected by active and passive shielding, and large enough to count a 10" photo-multiplier tube (PMT). A GEANT4 Monte-Carlo of th
Externí odkaz:
http://arxiv.org/abs/1101.4000