Stochastic Mechanics and Stochastic Processes

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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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.

• Brownian motion
• Kernel
• algebra
• equation
• hitting time
• quantum physics
• stochastic processes
• theorem

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