Eugene Borisovich Dynkin (Russian: Евге́ний Бори́сович Ды́нкин; 11 May 1924 – 14 November 2014) was a Soviet and American mathematician. He has made contributions to the fields of probability and algebra, especially semisimple Lie groups, Lie algebras, and Markov processes. The Dynkin diagram, the Dynkin system, and Dynkin's lemma are named after him.
1.1 Moscow University
2 Mathematical work
2.1 Lie Theory
3 Prizes and awards 4 Publications 5 See also 6 Notes 7 External links
Dynkin lived in Leningrad until 1935, when his family was exiled to
Kazakhstan. Two years later, when Dynkin was 13, his father
disappeared in the Gulag.
At the age of 16, in 1940, Dynkin was admitted to Moscow University.
He avoided military service in
World War II
Eugene Dynkin, 1976
Dynkin is considered to be a rare example of a mathematician who made
fundamental contributions to two very distinct areas of mathematics:
algebra and probability theory. The algebraic period of Dynkin's
mathematical work was between 1944 and 1954, though even during this
time a probabilistic theme was noticeable. Indeed, Dynkin's first
publication was in 1945, jointly with N. A. Dmitriev, solved a problem
on the eigenvalues of stochastic matrices. This problem was raised at
Kolmogorov's seminar on Markov chains, while both Dynkin and Dmitriev
While Dynkin was a student at Moscow University, he attended Israel
Gelfand's seminar on Lie groups. In 1944, Gelfand asked him to prepare
a survey on the structure and classification of semisimple Lie groups,
based on the papers by
In this paper, using only elementary mathematics, and starting with almost nothing, Dynkin, brilliantly and elegantly developed the structure and machinery of semisimple Lie algebras. What he accomplished in this paper was to take a hitherto esoteric subject, and to make it into beautiful and powerful mathematics. — Bertram Kostant, "Selected papers", p. 363
Dynkin's 1952 influential paper "Semisimple subalgebras of semisimple
Lie algebras", contained large tables and lists, and studied the
subalgebras of the exceptional Lie algebras.
Prize of the Moscow Mathematical Society, 1951
Institute of Mathematical Statistics, Fellow, 1962
American Academy of Arts and Sciences, Fellow, 1978
National Academy of Sciences of the USA, Member, 1985
American Mathematical Society,
Leroy P. Steele Prize for Total
Mathematical Work, 1993
Moscow Mathematical Society, Honorary Member, 1995
Doctor Honoris Causa of the Pierre and Marie Curie University (Paris
Doctor of Science (honoris causa) of the University of Warwick,
Doctor Honoris Causa of the Independent
Theory of Markov Processes. Prentice-Hall. 1961.  Die Grundlagen der Theorie der Markoffschen Prozesse. Grundlehren der mathematischen Wissenschaften, Band 108. Springer Verlag. 1961.  Markov Processes. Grundlehren der mathematischen Wissenschaften. Springer Verlag. 1965. Controlled Markov Processes. Grundlehren der mathematischen Wissenschaften. Springer Verlag. 1979. Markov Processes and Related Problems of Analysis, Selected Papers. London Math. Soc. Lecture Notes Series, 54. Cambridge University Press. 1982. Dynkin, Eugene B. (2000). Yushkevich, A. A.; Seitz, G. M.; Onishchik, A. L., eds. Selected papers of E. B. Dynkin with commentary. Providence, R.I.: American Mathematical Society. ISBN 978-0-8218-1065-1. MR 1757976. Diffusions, Superdiffusions and Partial Differential Equations. AMS Colloquium Publications. 2002.  Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations. American Mathematical Society. 2004.
Affine Dynkin diagram Coxeter–Dynkin diagram Dynkin index Dynkin–Specht–Wever Lemma
Dynkin's formula Dynkin system
^ a b c d e Vvedenskaya, N. D.; Dobrushin, R. L.; Onishchik, A. L.;
Uspenskiĭ, V. A. (1994). "Evgeniĭ Borisovich Dynkin (on the occasion
of his seventieth birthday)". Russian Math. Surveys. 49 (4):
183–191. doi:10.1070/rm1994v049n04abeh002411. MR 1309461.
^ a b c Dynkin (2000, p. xiii)
^ In Dynkin (2000, p. xv), Dynkin states "I came to the United
States from the
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WorldCat Identities VIAF: 108132780 LCCN: n81092336 ISNI: 0000 0001 0930 7349 GND: 119202085 SUDOC: 033778183 BNF: cb124606528