Richard M. Dudley

For other people named Richard Dudley, see Richard Dudley (disambiguation).

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

Richard Mansfield Dudley
Born	(1938-07-28)July 28, 1938 Cleveland, Ohio, USA
Died	January 19, 2020(2020-01-19) (aged 81)
Education	Harvard University Princeton University
Scientific career
Institutions	University of California, Berkeley Massachusetts Institute of Technology
Thesis	Lorentz-Invariant Random Distributions  (1962)
Doctoral advisor	Edward Nelson Gilbert Hunt
Doctoral students	Marjorie Hahn Evarist Giné

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. (1984), Hennequin, P. L. (ed.), "A course on empirical processes", École d'Été de Probabilités de Saint-Flour XII - 1982, Lecture Notes in Mathematics, vol. 1097, Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 1–142, doi:10.1007/bfb0099432, ISBN 978-3-540-13897-6, retrieved 2024-05-05
• Dudley, Richard M. (1989). Real analysis and probability. The Wadsworth & Brooks Cole mathematics series. Pacific Grove: Wadsworth & Brooks Cole Publ. Co. ISBN 978-0-534-10050-6. (Dudley, R. M. (2002). Real analysis and probability. Cambridge studies in advanced mathematics. Cambridge; New York: Cambridge University Press. ISBN 978-0-521-80972-6.)
• Dudley, Richard M.; Hahn, Marjorie G.; Kuelbs, James, eds. (1992). Probability in Banach Spaces, 8. Boston, MA: Birkhäuser Boston. doi:10.1007/978-1-4612-0367-4. ISBN 978-0-8176-3657-9.
• Dudley, Richard M.; Norvaiša, Rimas (1999). Differentiability of Six Operators on Nonsmooth Functions and p-Variation. Lecture Notes in Mathematics. Vol. 1703. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/bfb0100744. ISBN 978-3-540-65975-4.
• Dudley, R. M. (1999-07-28). Uniform Central Limit Theorems (1 ed.). Cambridge University Press. doi:10.1017/cbo9780511665622. ISBN 978-0-521-46102-3. (Dudley, R. M. (2014-02-24). Uniform Central Limit Theorems (2 ed.). Cambridge University Press. doi:10.1017/cbo9781139014830. ISBN 978-0-521-49884-5.)