vm INTRODUCTION will find a more complete bibliography in the survey of John Erdos [29], which also contains a discussion of several topics not mentioned in these lectures. I would like to thank the National Science Foundation for granting financial support to this lecture series, the Conference Organizer, Gareth Ashton, for his efforts to make the Conference work, and the Mathematics Department of Texas Tech University for the hospitality they extended to all the participants. Note added December 5, 1983, concerning Lectures 4 and 5. Barry Simon has pointed out that connections between the Feynman-Kac formula and dilation theory have been observed previously in the mathematical physics literature. We particularly want to call attention to the work of Abel Klein [75, 76, 77, 78] on Osterwalder-Schrader positivity, and of Klein and Landau [79, 80] on the path Space approach to perturbation theory and KMS Systems.
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