# Eugene Borisovich Dynkin, Ph.D.

## Affiliations: | 1977-2014 | Mathematics | Cornell University, Ithaca, NY, United States |

##### Area:

Semisimple Lie groups, Lie algebras, and Markov processes##### Website:

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 mentorAndrei N. Kolmogorov | grad student | 1940-1948 | Moscow University (MathTree) |

#### Children

Sign in to add traineeIgor 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 |

#### Publications

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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, Kuznetsov SE. (2004) measures for branching exit Markov systems and their applications to differential equations Probability Theory and Related Fields. 130: 135-150 |

Dynkin EB, Kuznetsov SE. (2001) Rough Boundary Trace for Solutions of $Lu=\psi{u}$ Theory of Probability and Its Applications. 45: 662-667 |

Dynkin EB, Kuznetsov SE. (1999) Solutions of a class of semilinear differential equations: trace and singularities on the boundary Operator Theory. 110: 69-80 |

Dynkin EB, Kuznetsov SE. (1998) Solutions of nonlinear differential equations on a Riemannian manifold and their trace on the Martin boundary Transactions of the American Mathematical Society. 350: 4521-4552 |

Dynkin EB, Kuznetsov SE. (1998) Trace on the boundary for solutions of nonlinear differential equations Transactions of the American Mathematical Society. 350: 4499-4519 |

Dynkin EB, Kuznetsov SE. (1998) Fine Topology And Fine Trace On The Boundary Associated With A Class Of Semilinear Differential Equations Communications On Pure and Applied Mathematics. 51: 897-936 |

Dynkin EB, Kuznetsov SE. (1997) Nonlinear parabolic P.D.E.\ and additive functionals of superdiffusions Annals of Probability. 25: 662-701 |

Dynkin EB, Kuznetsov SE. (1997) Natural linear additive functionals of superprocesses Annals of Probability. 25: 640-661 |