Model Theory of Stochastic Processes

Lecture Notes in Logic #14

Sergio Fajardo, H. Jerome Keisler

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English

A K Peters
01 January 2002

Probability & statistics; Stochastics

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.

By: Sergio Fajardo, H. Jerome Keisler
Imprint: A K Peters
Country of Publication: United States
Volume: No. 14
Dimensions: Height: 229mm, Width: 152mm, Spine: 8mm
Weight: 226g
ISBN: 9781568811727
ISBN 10: 1568811721
Pages: 140
Publication Date: 01 January 2002
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Introduction Chapter 1. Adapted distributions Chapter 2. Hyperfnite adapted spaces Chapter 3. Saturated spaces Chapter 4. Comparing stochastic processes Chapter 5. Defnability in adapted spaces Chapter 6. Elementary extensions Chapter 7. Rich adapted spaces Chapter 8. Adapted neometric spaces Chapter 9. Enlarging saturated spaces

Sergio Fajardo Department of Mathematics, University of Los Andes, Bogota, Colombia. H. Jerome Keisler Department of Mathematics, University of Wisconsin, Madison, Wisconsin, USA.