Eugene Borisovich Dynkin, Ph.D.
Affiliations: | 1977-2014 | Mathematics | Cornell University, Ithaca, NY, United States |
Area:
Semisimple Lie groups, Lie algebras, and Markov processesWebsite:
http://pi.math.cornell.edu/~ebd/Google:
"https://en.wikipedia.org/wiki/Eugene_Dynkin#External_links"Bio:
Eugene Borisovich Dynkin (Russian: Евге́ний Бори́сович Ды́нкин; 11 May 1924 – 14 November 2014) was a Soviet and American mathematician.[1] He 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.
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Parents
Sign in to add mentor| Andrei N. Kolmogorov | grad student | 1940-1948 | Moscow University (MathTree) |
Children
Sign in to add trainee| Igor Evstigneev | grad student | University of Manchester | |
| Igor Vladimirovich Girsanov | grad student | Moscow State University | |
| Fridrikh Israilevich Karpelevich | grad student | ||
| Nicolai V. Krylov | grad student | UMN (MathTree) | |
| Sergei E. Kuznetsov | grad student | Academy of Sciences, USSR (MathTree) | |
| Anatoli V. Skorokhod | grad student | Lomonosov Moscow State University (MathTree) | |
| Robert J. Vanderbei | grad student | (MathTree) | |
| Ernest Borisovich Vinberg | grad student | Moscow State University |
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Publications
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| Dynkin EB, Minchenko AN. (2010) Enhanced Dynkin diagrams and Weyl orbits Transformation Groups. 15: 813-841 |
| Dynkin EB, Kuznetsov SE. (2007) A class of boundary traces for solutions of the equation Lu=ψ(u) Journal of Functional Analysis. 252: 696-709 |
| Dynkin EB, Kuznetsov SE. (2007) Bessel capacities on compact manifolds and their relation to Poisson capacities Journal of Functional Analysis. 242: 281-294 |
| Dynkin EB. (2006) On extreme X-harmonic functions Mathematical Research Letters. 13: 59-69 |
| Dynkin EB. (2006) A note on $X$-harmonic functions Illinois Journal of Mathematics. 50: 385-394 |
| Dynkin EB. (2004) A new inequality for superdiffusions and its applications to nonlinear differential equations Electronic Research Announcements of the American Mathematical Society. 10: 68-77 |
| Dynkin EB. (2004) Superdiffusions and positive solutions of non-linear partial differential equations Russian Mathematical Surveys. 59: 147-157 |
| Dynkin EB. (2004) On upper bounds for positive solutions of semilinear equations Journal of Functional Analysis. 210: 73-100 |
| Dynkin EB. (2004) Harmonic functions and exit boundary of superdiffusion Journal of Functional Analysis. 206: 33-68 |
| Dynkin EB, Kuznetsov SE. (2004) measures for branching exit Markov systems and their applications to differential equations Probability Theory and Related Fields. 130: 135-150 |