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Stochastic Differential Equations on Manifolds

Stochastic Differential Equations on Manifolds

$67.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: October 1982
  • availability: Available
  • format: Paperback
  • isbn: 9780521287678

$ 67.99 (C)
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  • The aims of this book, originally published in 1982, are to give an understanding of the basic ideas concerning stochastic differential equations on manifolds and their solution flows, to examine the properties of Brownian motion on Riemannian manifolds when it is constructed using the stochiastic development and to indicate some of the uses of the theory. The author has included two appendices which summarise the manifold theory and differential geometry needed to follow the development; coordinate-free notation is used throughout. Moreover, the stochiastic integrals used are those which can be obtained from limits of the Riemann sums, thereby avoiding much of the technicalities of the general theory of processes and allowing the reader to get a quick grasp of the fundamental ideas of stochastic integration as they are needed for a variety of applications.

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    Product details

    • Date Published: October 1982
    • format: Paperback
    • isbn: 9780521287678
    • length: 348 pages
    • dimensions: 229 x 152 x 20 mm
    • weight: 0.51kg
    • availability: Available
  • Table of Contents

    Preface
    Introduction
    1. Preliminaries and notation
    2. Kolmogorov's Theorem, Totoki's Theorem, and Brownian Motion
    3. The integral: estimates and existence
    4. Special cases
    5. The change of variable formula
    6. Stochastic integral equations
    7. Stochastic differential equations on manifolds
    8. Regularity
    9. Diffusions
    Appendices
    References
    Index.

  • Author

    K. D. Elworthy

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