Many situations exist in which solutions to problems are represented as function space integrals. Such representations can be used to study the qualitative properties of the solutions and to evaluate them numerically using Monte Carlo methods. The emphasis in this book is on the behavior of solutions in special situations when certain parameters get large or small.
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Many situations exist in which solutions to problems are represented as function space integrals. Such representations can be used to study the qualitative properties of the solutions and to evaluate them numerically using Monte Carlo methods. The emphasis in this book is on the behaviour of solutions in special situations when certain parameters get large or small.
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  • Large Deviations
  • Cramer's Theorem
  • Multidimensional Version of Cramer's Theorem
  • An Infinite Dimensional Example: Brownian Motion
  • The Ventcel-Freidlin Theory
  • The Exit Problem
  • Empirical Distributions
  • The Large Deviation Problem for Empirical Distributions of Markov Processes
  • Some Properties of Entropy
  • Upper Bounds
  • Lower Bounds
  • Contraction Principle
  • Application to the Problem of the Wiener Sausage
  • The Polaron Problem.
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    Product details

    ISBN
    9780898711899
    Published
    1984-07-31
    Publisher
    Society for Industrial & Applied Mathematics,U.S.
    Weight
    165 gr
    Height
    228 mm
    Width
    151 mm
    Thickness
    6 mm
    Age
    P, 06
    Language
    Product language
    Engelsk
    Format
    Product format
    Heftet
    Number of pages
    80