Wendell Fleming

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Wendell Helms Fleming (born March 7, 1928 in Guthrie , Oklahoma ) is an American mathematician who deals with geometric analysis and stochastics.

Fleming received his doctorate in 1951 under Laurence Young at the University of Wisconsin – Madison ( Boundary and related notions for generalized parametric surfaces ). Fleming was a professor at Brown University , where he is currently (2009) Professor Emeritus.

With Herbert Federer, Fleming was a pioneer of geometric measurement theory. Later he dealt with stochastic processes, stochastic differential equations and their application in control theory.

In the 1960s he investigated the generalization of Bernstein's theorem to more than two dimensions and thus initiated a new field of research (at the same time he gave a new proof of Bernstein's theorem). The final solution to the problem in Euclidean space came in 1969 by Enrico Bombieri , Enrico Giusti and Ennio de Giorgi .

From 1976 to 1977 he was a Guggenheim Fellow. In 1982 he gave a plenary lecture at the International Congress of Mathematicians (ICM) in Warsaw ( Optimal control of Markov Processes ) and in 1970 he was invited speaker at the ICM in Nice (Optimal Stochastic Control). In 1987 he and Federer received the Leroy P. Steele Prize of the American Mathematical Society . In 1994 he received the Reid Prize from the Society for Industrial and Applied Mathematics (SIAM). He is an honorary doctor of Purdue University (1991). He is a Fellow of the American Mathematical Society and a member of the American Academy of Arts and Sciences and the National Academy of Sciences .

Fonts

  • with Raymond W. Rishel: Deterministic and stochastic optimal control . Springer, Berlin Heidelberg New York 1975, ISBN 3-540-90155-8 .
  • Functions of several variables . Addison-Wesley, 1965, Springer, 1977.
  • with Halil Mete Soner : Controlled Markov Processes and Viscosity Solutions . Springer, 1992, 2nd edition 2006.

Web links

Individual evidence

  1. ^ Fleming, On the oriented Plateau problem, Rend. Circ. Mat. Palermo, 1962 pp. 1-22
  2. Fleming, Flat chains over a finite coefficient group, Trans. Amer. Math. Soc., Vol. 121, 1966, pp. 160-186