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Model Theory of Stochastic Processes

Model Theory of Stochastic Processes

$66.00 ( ) USD

Part of Lecture Notes in Logic

  • Publication planned for: April 2020
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781108619264

$ 66.00 USD ( )
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About the Authors
  • Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fourteenth publication in the Lecture Notes in Logic series, Fajardo and Keisler present new research combining probability theory and mathematical logic. It is a general study of stochastic processes using ideas from model theory, a key central theme being the question, 'When are two stochastic processes alike?' The authors assume some background in nonstandard analysis, but prior knowledge of model theory and advanced logic is not necessary. This volume will appeal to mathematicians willing to explore new developments with an open mind.

    • A general study of stochastic processes using ideas from model theory
    • Explores new research combining probability theory and mathematical logic
    • Does not assume prior knowledge of model theory or advanced logic
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    Product details

    • Publication planned for: April 2020
    • format: Adobe eBook Reader
    • isbn: 9781108619264
    • contains: 1 b/w illus.
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Introduction
    1. Adapted distributions
    2. Hyperfinite adapted spaces
    3. Saturated spaces
    4. Comparing stochastic processes
    5. Definability in adapted spaces
    6. Elementary extensions
    7. Rich adapted spaces
    8. Adapted neometric spaces
    9. Enlarging adapted spaces
    References.

  • Authors

    Sergio Fajardo, Universidad de los Andes, Colombia
    Sergio Fajardo works in the Department of Mathematics at the University of Los Andes, Bogotá, Colombia.

    H. Jerome Keisler, University of Wisconsin, Madison
    H. Jerome Keisler works in the Department of Mathematics at the University of Wisconsin, Madison.

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