1st Edition
Model Theory of Stochastic Processes Lecture Notes in Logic 14
140 Pages
by
A K Peters/CRC Press
140 Pages
by
A K Peters/CRC Press
Also available as eBook on:
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... Read more
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
Biography
Sergio Fajardo Department of Mathematics, University of Los Andes, Bogota, Colombia. H. Jerome Keisler Department of Mathematics, University of Wisconsin, Madison, Wisconsin, USA.
