Richard M. Dudley Explained
Richard Mansfield Dudley (July 28, 1938 – January 19, 2020)[1] was Professor of Mathematics at the Massachusetts Institute of Technology.
Education and career
Dudley was born in Cleveland, Ohio. He earned his BA at Harvard College and received his PhD at Princeton University in 1962 under the supervision of Edward Nelson and Gilbert Hunt. He was a Putnam Fellow in 1958. He was an instructor and assistant professor at University of California, Berkeley between 1962 and 1967, before moving to MIT as a professor in mathematics, where he stayed from 1967 until 2015, when he retired.[2]
He died on January 19, 2020, following a long illness.[3]
Research
His work mainly concerned fields of probability,[4] mathematical statistics, and machine learning, with highly influential contributions to the theory of Gaussian processes and empirical processes. He published over a hundred papers in peer-reviewed journals and authored several books. His specialty was probability theory and statistics, especially empirical processes.[5] He is often noted for his results on the so-called Dudley entropy integral.[6] [7] [8] In 2012 he became a fellow of the American Mathematical Society.[9]
Books
- Book: Dudley, Richard M. . Real analysis and probability . 1989 . Wadsworth & Brooks Cole Publ. Co . 978-0-534-10050-6 . The Wadsworth & Brooks Cole mathematics series . Pacific Grove. (Book: Dudley, R. M. . Real analysis and probability . 2002 . Cambridge University Press . 978-0-521-80972-6 . Cambridge studies in advanced mathematics . Cambridge; New York.)
- Book: Probability in Banach Spaces, 8: . 1992 . Birkhäuser Boston . 978-0-8176-3657-9 . Dudley . Richard M. . Boston, MA . en . 10.1007/978-1-4612-0367-4 . Hahn . Marjorie G. . Kuelbs . James.
- Book: Dudley, Richard M. . Differentiability of Six Operators on Nonsmooth Functions and p-Variation . Norvaiša . Rimas . 1999 . Springer Berlin Heidelberg . 978-3-540-65975-4 . Lecture Notes in Mathematics . 1703 . Berlin, Heidelberg . 10.1007/bfb0100744.
- Book: Dudley, R. M. . Uniform Central Limit Theorems . 1999-07-28 . Cambridge University Press . 978-0-521-46102-3 . 1 . 10.1017/cbo9780511665622. (Book: Dudley, R. M. . Uniform Central Limit Theorems . 2014-02-24 . Cambridge University Press . 978-0-521-49884-5 . 2 . 10.1017/cbo9781139014830.)
References
- R. S. Wenocur and R. M. Dudley, "Some special Vapnik–Chervonenkis classes," Discrete Mathematics, vol. 33, pp. 313–318, 1981.
External links
Notes and References
- Web site: Richard Dudley, professor emeritus of mathematics, dies at 81 . . February 18, 2020 . MIT News . July 14, 2020.
- Web site: Putnam Competition Individual and Team Winners . Mathematical Association of America. December 9, 2021.
- Web site: Richard M. Dudley MIT Mathematics. 2021-02-20. math.mit.edu.
- Book: Rojo, Javier. Selected Works of E.L. Lehmann. 2016. Springer-Verlag. New York. 978-1-4939-5104-8. Softcover reprintF=. 959948252.
- A Conversation with Dick Dudley. Koltchinskii . Vladimir . Nickl. Richard. Richard Nickl. Rigollet. Philippe. Statistical Science. 34. 1. 169–175. 2019. 10.1214/18-STS678 . 145989186 .
- R. M. . Dudley . The sizes of compact subsets of Hilbert space and continuity of Gaussian processes . . 1 . 3 . 290–330 . 1967 . 10.1016/0022-1236(67)90017-1 . free .
- Book: Dudley, R. M. . Uniform Central Limit Theorems . Cambridge Studies in Advanced Mathematics . 63 . Cambridge University Press . Cambridge, UK . 1999 .
- Web site: Exposition of statistical learning theory ., including Dudley's entropy integral.
- https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society
