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Model Theory of Stochastic Processes: Lecture Notes in Logic #14 (Lecture Notes in Logic, 14)
Model Theory of Stochastic Processes Lecture Notes in Logic 14 - Lecture Notes in Logic, 14 Author:Sergio Fajardo, H. Jerome Keisler 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 ... more »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.« less