Richard M. Dudley

Richard Mansfield Dudley (July 28, 1938 – January 19, 2020)[1] was Professor of Mathematics at the Massachusetts Institute of Technology.

For other people named Richard Dudley, see Richard Dudley (disambiguation).
Richard Mansfield Dudley
Born(1938-07-28)July 28, 1938
Cleveland, Ohio, USA
DiedJanuary 19, 2020(2020-01-19) (aged 81)
EducationHarvard University
Princeton University
Scientific career
InstitutionsUniversity of California, Berkeley
Massachusetts Institute of Technology
ThesisLorentz-Invariant Random Distributions (1962)
Doctoral advisorEdward Nelson
Gilbert Hunt
Doctoral studentsMarjorie Hahn

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
  • Dudley, R.M. (1989). Real Analysis and Probability. Chapman & Hall.
  • Dudley, R.M. (1999). Uniform Central Limit Theorems. Cambridge Studies in Advanced Mathematics, 63. Cambridge, UK: Cambridge University Press.
  • Dudley, R.M.; R. Norvaisa; J. Qian (1999). "Differentiability of Six Operators on Nonsmooth Functions and P-Variation". Lecture Notes in Mathematics. Springer-Verlag.
  • Dudley, R.M. (1984). A Course on Empirical Processes. Lecture Notes in Mathematics. Springer-Verlag.

References
  1. "Richard Dudley, professor emeritus of mathematics, dies at 81". MIT News. February 18, 2020. Retrieved July 14, 2020.
  2. "Putnam Competition Individual and Team Winners". Mathematical Association of America. Retrieved December 9, 2021.
  3. "Richard M. Dudley | MIT Mathematics". math.mit.edu. Retrieved 2021-02-20.
  4. Rojo, Javier (2016). Selected Works of E.L. Lehmann (Softcover reprintF= ed.). New York: Springer-Verlag. ISBN 978-1-4939-5104-8. OCLC 959948252.
  5. Koltchinskii, Vladimir; Nickl, Richard; Rigollet, Philippe (2019). "A Conversation with Dick Dudley" (PDF). Statistical Science. 34 (1): 169–175. doi:10.1214/18-STS678. S2CID 145989186.
  6. Dudley, R. M. (1967). "The sizes of compact subsets of Hilbert space and continuity of Gaussian processes". Journal of Functional Analysis. 1 (3): 290–330. doi:10.1016/0022-1236(67)90017-1.
  7. Dudley, R. M. (1999). Uniform Central Limit Theorems. Cambridge Studies in Advanced Mathematics. Vol. 63. Cambridge, UK: Cambridge University Press.
  8. "Exposition of statistical learning theory"., including Dudley's entropy integral.
  9. List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
  • R. S. Wenocur and R. M. Dudley, "Some special Vapnik–Chervonenkis classes," Discrete Mathematics, vol. 33, pp. 313–318, 1981.


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