Eugene Dynkin

Eugene B. Dynkin (originally Yevgeny Borisovich Dynkin / Russian Евгений Борисович Дынкин; born May 11, 1924 in Leningrad ) is a Russian mathematician.

Life

Dynkin was born into a Jewish family origin. In 1935, his father was declared an enemy of the people and sent the family into exile in Kazakhstan, two years later the father died in the Gulag. Despite this double load ( Jewish ancestry and political problems ) Dynkin in 1940 admitted to the Lomonosov University in Moscow, where he began his studies of mathematics. From military service in World War II he was spared thanks to eye problems.

At the University of Dynkin could only assert itself through the intercession of Andrei Nikolaevich Kolmogorov. He attended among others Seminars in Israel Gelfand and Kolmogorov. In 1945 he received his diploma certificate to work under Kolmogorov and his doctorate in 1948. Kolmogorov's result, he was an assistant professor, but even after his doctorate in physics and mathematics in 1951 his party leadership wanted to allot no real chair. This was done only in 1953 after Stalin's death and renewed strong advocacy Kolmogorov.

In 1968 he had to switch to the Institute for Economics and Mathematics of the Russian Academy of Sciences. Due to the ongoing political problems, and after his only daughter had already gone to Israel, Dynkin emigrated in 1976 to the USA. In 1977 he became a professor at Cornell University in Ithaca. In 1989 he moved there on the A. R. Bullis - chair of mathematics, which he still holds today.

Work

In the 1940s Dynkin began his mathematical work with work on Lie groups, for which he developed the Dynkin diagram, and came thanks to Kolmogorov probability theory. In the latter, he made ​​major contributions to the theory of Markov chains. During the stage at the Academy of Sciences he worked on economic equilibria and growth processes. In the U.S., he returned to the Markov chains and combined this with random fields, partial differential equations and quantum field theory. The terms Dynkin system ( from measure theory ), Dynkin diagram ( from the theory of Lie algebras ) and the Doob - Dynkin lemma are associated with his name. In the representation theory of the Dynkin index is named after him.

With Vladimir Andreyevich Uspensky he also wrote the three-volume Mathematical Recreations ( Volume 1 Multicolor Problems, Volume 2 Number Theory, Volume 3 wanderings ), which have also been published in German in 1955 (VEB Verlag der Wissenschaften, Berlin).

His doctoral include Friedrich Karpelewitsch, Anatoli Skorokhod, Ernest Vinberg and Arkadi Onishchik.

Honors

Dynkin received in 1951 the price of the Moscow Mathematical Society and Leroy P. Steele Prize 1993 of the American Mathematical Society, of which he is a Fellow. He is a member of the American Academy of Arts and Sciences (1978), National Academy of Sciences of the USA (1985 ), honorary member of the Moscow Mathematical Society (1995). He wears the honorary doctorates from the Université Pierre et Marie Curie in Paris (1997), the University of Warwick ( 2003) and the Moscow Independent University ( 2003). In 1962 he gave a plenary lecture at the International Congress of Mathematicians in Stockholm ( Markov processes and problems of analysis ) and in 1970 he was invited speaker at the ICM in Nice ( Entrance and exit spaces for a Markov process).

Writings

  • Mathematical Recreations, tasks via the multi- color problem, German from number theory and the theory of probability, VEB Verlag der Wissenschaften, Berlin, 1955-1956 ( and more often, 5th Edition 1983)
  • The foundations of the theory of Markov processes, fundamental doctrines of the mathematical sciences, Springer Verlag 1961
  • Markov Processes, 2 volumes, basic teachings of the mathematical sciences, Springer Verlag 1965
  • Sets and tasks on Markov processes, Springer Verlag 1969
  • Controlled Markov Processes, basic teachings of the mathematical sciences, Springer Verlag 1979
  • Markov Processes and Related Problems of Analysis, Selected Papers, London Math.Soc, Lecture Notes Series, 54. ; Cambridge University Press, 1982
  • AA Yushkevich, GM Seitz, AL Onishchik (Editor ): Selected Papers of EB Dynkin with Commentary, American Mathematical Society, 2000
  • Diffusion, super- diffusion and Partial Differential Equations, AMS Colloquium Publications 2002
  • Super diffusion and Positive Solutions of Nonlinear Partial Differential Equations, American Mathematical Society 2004
Communist Party of the Soviet Union Dynkin-System Doob–Dynkin lemma Dynkin-Index Mathematics Genealogy Project Integrated Authority File
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