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Model Theory of Stochastic Processes (Lecture Notes in Logic) - Softcover

Book 33 of 39: Lecture Notes in Logic

Fajardo, Sergio; Keisler, H. Jerome

 
9781568811727: Model Theory of Stochastic Processes (Lecture Notes in Logic)

Synopsis

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 properties, defined by insights from model theory, becomes easy using nonstandard methods, but remains difficult or impossible without them.

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About the Author

Sergio Fajardo Department of Mathematics, University of Los Andes, Bogota, Colombia. H. Jerome Keisler Department of Mathematics, University of Wisconsin, Madison, Wisconsin, USA.

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