J. L. Doob: Foundations of stochastic processes and probabilistic potential theory

Details J. L. Doob: Foundations of stochastic processes and probabilistic potential theory J. L. Doob: Foundations of stochastic processes and probabilistic potential theory

2009-09-23

arxiv.org/abs/0909.4213v1

Annals of Probability 2009, Vol. 37, No. 5, 1647-1663

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/09-AOP465 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/09-AOP465

During the three decades from 1930 to 1960 J. L. Doob was, with the possible exception of Kolmogorov, the man most responsible for the transformation of the study of probability to a mathematical discipline. His accomplishments were recognized by both probabilists and other mathematicians in that he is the only person ever elected to serve as president of both the IMS and the AMS. This article is an attempt to discuss his contributions to two areas in which his work was seminal, namely, the foundations of continuous parameter stochastic processes and probabilistic potential theory.

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