Model Theory of Stochastic Processes

This monograph 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.Fajardo, Sergio is the author of 'Model Theory of Stochastic Processes' with ISBN 9781568811727 and ISBN 1568811721.