Biographical Memoirs Volume 70 (1996) / Chapter Skim
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Frank Ludvig Spitzer
Frank Ludvig Spitzer
Pages 388-405
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Brownian motion, which are quite familiar to probabilists. Spitzer invented or developec!
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visit to Princeton, where he met the famous probabilist William Feller. For financial support Frank cirove a cab for a while in Ann Arbor.
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Random walks as well as Brownian motion figured prominently in Frank's research.) My impression is that he usually picked his own research problems and that little of his work is due to direct guidance or influence of other probabilists, however, from some of his remarks I gather that the contacts with Feller, whom Frank met at Princeton, did have an important influence on his thesis.
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Wiener sausage, the volume swept out by a ball whose center undergoes a Brownian motion (in dimension ~ 2 3~. Frank's first academic position was at the California Institute of Technology as instructor from 1953 to 1955 en c!
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by inclepenclent iclentically clistributec! random variables Xi, then the T is much easier to clear with than the maxima.
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been known that there is a close connection between classical potential theory ant! Brownian motion.
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In turn, this allowed! him to obtain limit theorems for the distribution of the position where a random walk first hits a given set.
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with one author from the Soviet Union whom Frank met on his trip. Random walk in random environment is a moclel in which randomness is introclucec!
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looking at interacting particle systems, but it soon became an important factor. Various examples in interacting particle systems represent time evolutions which have well known statistical mechanics moclels for their equilibrium state.
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whether the state of the process converges to such an equilibrium distribution from suitable initial states. In many examples there is an analogue of a phase transition, for some parameter values in the transition mechanism there is a unique equilibrium state en c!
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its successor, Probability Theory and Related Fields. He also taught special courses at various summer schools.
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students, en c! several of them have now macle a career for themselves in interacting particle systems.
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~ AM INDEBTED TO Jean Spitzer for a number of biographical data and to Thomas Liggett for some comments about Spitzer's work on interacting particle systems. I thank Geoffrey Grimmett for the photograph of Frank Spitzer and for several helpful suggestions for this memoir.
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Markov processes with a large number of locally interacting components: existence of a limit process and its ergodicity. Problems Inform.
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Electrostatic capacity, heat flow, and Brownian motion.
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78:14254. Random fields and interacting particle systems.
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Ergodic theorems for coupled random walks and other systems with locally interacting components.
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