Stochastic Mechanics and Stochastic Processes Proceedings of a Confe
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 int
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1325 A. Truman I. M . Davies (Eds.)
Stochastic Mechanics and Stochastic Processes Proceedings of a Con ference
held in Swansea, U. K., Aug . 4-8, 1986
Springer-Verlag Berlin Heidelberg NewYork London Paris Tokyo
Lecture Notes in Mathematics Edited by A Dold and B. Eckma nn
1325 A. Truman I. M . Davies (Eds.)
Stochastic Mechanics and Stochastic Processes Proceedings of a Con ference
held in Swansea, U. K., Aug . 4-8, 1986
Springer-Verlag Berlin Heidelberg NewYork London Paris Tokyo
Editors
Aubrey Truman Ian M, Davies Department of Mathematics, University College of Singleton Park, Swansea SA2 8PP Wales, U.K.
Mathematics Subject Classification (1980): 60GXX, 60HXX ISBN 3-540-50015-4 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-50015-4 Springer-Verlag New York Berlin Heidelberg
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Preface This volume primarily contains papers presented at the meeting entitled 'Stochastic Mechanics and Stochastic Processes' held in Swansea from 4 August to 8 August 1986. Also included in the volume are some related papers, not presented at the meeting, but in the same subject area. The topics covered herein are quite varied but all related to the central themes of the meeting, including large deviations and statistical mechanics, Nelson's stochastic mechanics and quantum diffusions, simulations of Brownian Motions and stochastic flows. The meeting was most worthwhile both in the quality of the talks given and the level of discussion generated on the subject of stochastic processes and stochastic mechanics. Most of the papers herein are reasonably self-contained and should be readily accessible to researchers in this field. For beginning students in Nelson's stochastic mechanics we recommend that they start by reading the first paper in this volume by Batchelor and Truman, which deals with stochastic mechanics for excited states of a system with finitely many degrees of freedom. Some of the corresponding stochastic flows are discussed in the paper by Chappell and Elworthy, where new results are given for their Lyapunov exponents. There are related papers by Yasue, Durran and Williams and Steele. Zambrini's paper includes new results for Bernstein processes and stochastic mechanics. An interesting new treatment of stochastic mechanics for systems with infinitely many degrees of freedom (quantum fields) is given in the pap
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