# Random Walks, Brownian Motion, and Interacting Particle Systems

## A Festschrift in Honor of Frank Spitzer

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Part of the Progress in Probability book series (PRPR, volume 28)

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Part of the Progress in Probability book series (PRPR, volume 28)

This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come. Frank has always liked new phenomena, clean formulations and elegant proofs. He has created or opened up several research areas and it is not surprising that many people are still working out the consequences of his inventions. By way of introduction we have reprinted some of Frank's seminal articles so that the reader can easily see for himself the point of origin for much of the research presented here. These articles of Frank's deal with properties of Brownian motion, fluctuation theory and potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general resurgence of treating problems of statistical mechanics with rigorous probabilistic tools.

Brownian motion Gibbs state Markov process Probability theory Random variable contact process diffusion process interacting particle system random walk

- DOI https://doi.org/10.1007/978-1-4612-0459-6
- Copyright Information Springer Science+Business Media New York 1991
- Publisher Name Birkhäuser, Boston, MA
- eBook Packages Springer Book Archive
- Print ISBN 978-1-4612-6770-6
- Online ISBN 978-1-4612-0459-6
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