Model theory of stochastic processes
著者
書誌事項
Model theory of stochastic processes
（Lecture notes in logic, 14）
Association for Symbolic Logic, c2002
- : hbk
- : pbk
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注記
Includes bibliographical references (p. 131-135) and index
内容説明・目次
- 巻冊次
-
: hbk ISBN 9781568811673
内容説明
This book presents new research in probability theory using ideas from mathematical logic. It is a general study of stochastic processes on adapted probability spaces, employing the concept of similarity of stochastic processes based on the notion of adapted distribution. The authors use ideas from model theory and methods from nonstandard analysis. The construction of spaces with certain richness properties, defined by insights from model theory, becomes easy using nonstandard methods, but remains difficult or impossible without them.
目次
Dedication, Introduction, Chapter 1: Adapted Distributions, Chapter 2: Hyperfinite Adapted Spaces, Chapter 3: Saturated Spaces, Chapter 4: Comparing Stochastic Processes, Chapter 5: Definability in Adapted Spaces, Chapter 6: Elementary Extensions, Chapter 7: Rich Adapted Spaces, Chapter 8: Adapted Neometric Spaces, Chapter 9: Enlarging Saturated Spaces, References
- 巻冊次
-
: pbk ISBN 9781568811727
内容説明
This book presents new research in probability theory using ideas from mathematical logic. It is a general study of stochastic processes on adapted probability spaces, employing the concept of similarity of stochastic processes based on the notion of adapted distribution. The authors use ideas from model theory and methods from nonstandard analysis. The construction of spaces with certain richness properties, defined by insights from model theory, becomes easy using nonstandard methods, but remains difficult or impossible without them.
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