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Model theory and probability.

Song, Shichang.

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Model theory and probability.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Model theory and probability./
作者:	Song, Shichang.
面頁冊數:	172 p.
附註:	Source: Dissertation Abstracts International, Volume: 73-08(E), Section: B.
Contained By:	Dissertation Abstracts International73-08B(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3503699
ISBN:	9781267274014

Model theory and probability.
Song, Shichang.

Model theory and probability. - 172 p.

Source: Dissertation Abstracts International, Volume: 73-08(E), Section: B.

Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2011.

This thesis presents a systematic study of the model theory of probability algebras, random variable structures, and adapted structures, with an emphasis on their atomless counterparts.

ISBN: 9781267274014Subjects--Topical Terms:

515831
Mathematics.

Model theory and probability.
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245 1 0 $a Model theory and probability.
300 $a 172 p.
500 $a Source: Dissertation Abstracts International, Volume: 73-08(E), Section: B.
500 $a Adviser: C.Ward Henson.
502 $a Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2011.
520 $a This thesis presents a systematic study of the model theory of probability algebras, random variable structures, and adapted structures, with an emphasis on their atomless counterparts.
520 $a In this thesis, the author uses a continuous version of first order logic that has been developed recently and that is better suited for applications to metric structures than classical first order logic. The set of truth values in continuous logic is the interval [0, 1] instead of the truth values {True, False} in classical logic.
520 $a The author studies axioms, type spaces, quantifier elimination, separable categoricity, saturated models, stability, and d-finiteness for the theories of atomless probability algebras and atomless random variable structures. Explicit formulas for the d*-metric between types in the theory of atomless random variable structures are given. For the theory of atomless adapted structures, the author studies axioms, type spaces, quantifier elimination, separably categoricity, and d-finiteness.
590 $a School code: 0090.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mathematics. $3 1669109
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710 2 $a University of Illinois at Urbana-Champaign. $b Mathematics. $3 2099175
773 0 $t Dissertation Abstracts International $g 73-08B(E).
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791 $a Ph.D.
792 $a 2011
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3503699