Joseph Leo Doob

Joseph Leo Doob was an American mathematician and one of the principal architects of modern measure-theoretic probability. Building on Kolmogorov's axiomatization of probability, he established a rigorous framework for continuous-parameter stochastic processes, developed martingale theory into a central method of probability, and pioneered probabilistic potential theory. His 1953 monograph Stochastic Processes became a foundational work in the development of modern probability theory.

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