ABSTRACT

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

chapter 1|22 pages

ADAPTED DISTRIBUTIONS

chapter 2|20 pages

HYPERFNITE ADAPTED SPACES

chapter 3|16 pages

SATURATED SPACES

chapter 4|16 pages

COMPARING STOCHASTIC PROCESSES

chapter 5|10 pages

DEFNABILITY IN ADAPTED SPACES

chapter 6|14 pages

ELEMENTARY EXTENSIONS

chapter 7|16 pages

RICH ADAPTED SPACES

chapter 8|10 pages

ADAPTED NEOMETRIC SPACES

chapter 9|6 pages

ENLARGING SATURATED SPACES