Eugene Borisovich Dynkin (; 11 May 1924 – 14 November 2014) was a Soviet and American mathematician. living in Leningrad until 1935, when his family was exiled to Kazakhstan. Two years later, when Dynkin was 13, his father disappeared in the Gulag. In 1977, he became a professor at Cornell University.

Death

Dynkin died at the Cayuga Medical Center in Ithaca, New York, aged 90. Dynkin was an atheist.

Mathematical work

thumb|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 were undergraduates. Of Dynkin's 1947 paper "Structure of semisimple Lie algebras", Bertram Kostant wrote:

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.

Probability theory

Dynkin is considered one of the founders of the modern theory of Markov processes. The results obtained by Dynkin and other participants of his seminar at Moscow University were summarized in two books. The first of these, "Theory of Markov Processes", was published in 1959, and laid the foundations of the theory.

Dynkin's one-hour talk at the 1962 International Congress of Mathematicians in Stockholm, was delivered by Kolmogorov, since prior to his emigration, Dynkin was never permitted to travel to the West. This talk was titled "Markov processes and problems in analysis".

Prizes and awards

  • 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 6), 1997
  • Doctor of Science (honoris causa) of the University of Warwick, 2003.
  • Doctor Honoris Causa of the Independent Moscow University (Russia), 2003
  • Fellow of the American Mathematical Society, 2012

Publications

See also

;Algebra:

  • Affine Dynkin diagram
  • Coxeter–Dynkin diagram
  • Dynkin index
  • Dynkin–Specht–Wever Lemma

;Probability:

  • Dynkin's card trick
  • Dynkin's formula
  • Dynkin system

Notes

  • Department listing at Cornell University
  • Personal web page
  • Genealogy Tree of Dynkin's School
  • Collection of interviews assembled by Dynkin