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Model theory and probability.

Song, Shichang.

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Model theory and probability.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Model theory and probability./
Author:	Song, Shichang.
Description:	172 p.
Notes:	Source: Dissertation Abstracts International, Volume: 73-08(E), Section: B.
Contained By:	Dissertation Abstracts International73-08B(E).
Subject:	Mathematics. -
Online resource:	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.
LDR:01886nam a2200301 4500 001 1963020
005 20140924121923.5
008 150210s2011 ||||||||||||||||| ||eng d
020 $a 9781267274014
035 $a (MiAaPQ)AAI3503699
035 $a AAI3503699
040 $a MiAaPQ $c MiAaPQ
100 1 $a Song, Shichang. $3 2099174
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
690 $a 0405
690 $a 0364
710 2 $a University of Illinois at Urbana-Champaign. $b Mathematics. $3 2099175
773 0 $t Dissertation Abstracts International $g 73-08B(E).
790 $a 0090
791 $a Ph.D.
792 $a 2011
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3503699