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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    Produktdetaljer

    ISBN
    9780898711899
    Publisert
    1984-07-31
    Utgiver
    Society for Industrial & Applied Mathematics,U.S.
    Vekt
    165 gr
    Høyde
    228 mm
    Bredde
    151 mm
    Dybde
    6 mm
    Aldersnivå
    P, 06
    Språk
    Product language
    Engelsk
    Format
    Product format
    Heftet
    Antall sider
    80

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