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. The
book is accessible to researchers in probability, model theory,
and nonstandard analysis.
Year: 2002 ISBN:
Chapter 1 - Adapted Distributions