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Stochastic Mechanics and Stochastic Processes

Proceedings of a Conference held in Swansea, UK, August 4-8, 1986

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Aubrey Truman
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  2. Ian M. Davies
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1325)

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Table of contents (18 papers)

  1. Front Matter

    Pages I-IV
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  2. On first hitting times in stochastic mechanics

    • Andrew Batchelor, Aubrey Truman
    Pages 1-15

  3. Limit theorems for stochastic processes associated with a boson gas

    • M. van den Berg, J. T. Lewis
    Pages 16-23

  4. Large deviations and the boson gas

    • M. van den Berg, J. T. Lewis, J. V. Pulé
    Pages 24-39

  5. Stochastic mechanics of free scalar fields

    • Eric A. Carlen
    Pages 40-60

  6. Flows of newtonian diffusions

    • M. J. Chappell, K. D. Elworthy
    Pages 61-75

  7. Planetesimal diffusions

    • Richard Durran, Aubrey Truman
    Pages 76-88

  8. Brownian motion on hypersurfaces and computer simulation

    • Richard M. Durran, Aubrey Truman
    Pages 89-100

  9. Supersymmetry and stochastic processes

    • Z. Haba
    Pages 101-112

  10. Algebraic theory of quantum diffusions

    • R L Hudson
    Pages 113-124

  11. A note on integrability of C r-norms of stochastic flows and applications

    • Yuri Kifer
    Pages 125-131

  12. A note on stochastic models with expanding transformations

    • Yuri Kifer
    Pages 132-140

  13. The large deviation principle in statistical mechanics: an expository account

    • J. T. Lewis
    Pages 141-155

  14. Excursions from random boundaries

    • Paul McGill
    Pages 156-161

  15. A solution of the integral equation in convolution form and a problem in diffusion theory

    • Malcolm T. McGregor
    Pages 162-166

  16. Formulæ for the heat kernel of an elliptic operator exhibiting small-time asymptotics

    • Keith D. Watling
    Pages 167-180

  17. Stochastic mechanics for a point source

    • David Williams, Nick Steele, Aubrey Truman
    Pages 181-187

  18. Computer stochastic mechanics

    • Kunio Yasue
    Pages 188-204

  19. New probabilistic approach to the classical heat equation

    • J. C. Zambrini
    Pages 205-220

  20. Back Matter

    Pages 221-222
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Keywords

About this book

The main theme of the meeting was to illustrate the use of stochastic processes in the study of topological problems in quantum physics and statistical mechanics. Much discussion of current problems was generated and there was a considerable amount of interaction between mathematicians and physicists. The papers presented in the proceedings are essentially of a research nature but some (Lewis, Hudson) are introductions or surveys.

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