Doob

Joseph Leo Doob

Born: 27 Feb 1910 in Cincinnati, Ohio, USA
Died: 

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Doob studied at Harvard and obtained his doctorate there in 1932. He was appointed to the University of Illinois in 1935. He became a full professor there 10 years later.

Doob's work was in probability and measure theory, in particular he studied the relations between probability and potential theory.

Doob built on work by Paul Lévy and, during the 1940's and 1950's, he developed basic martingale theory and many of its applications. Doob's work has become one of the most powerful tools available to study stochastic processes.

In 1953 he published a book which gives a comprehensive treatment of stochastic processes, including much of his own development of martingale theory. This book Stochastic Processes has become a classic and was reissued in 1964. He is also the author of a well known book on measure theory. 

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JOC/EFR February 1996