Lie groups were the main subject of Dynkin's earlier research. "Dynkin's Diagrams" are widely used by mathematicians and physicists. After 1954, probability theory became the central field of his interests. Principal efforts were devoted to Markov processes and their connections with potential theory and partial differential equations. Other work includes research in mathematical statistics (sufficient statistics, exponential families), optimal control (optimal stopping, control with incomplete data) and mathematical economics (economic growth and economic equilibrium under uncertainty). More recently, he has been working on the relationship between Markov processes and random fields which arise in statistical physics and quantum field theory. Since 1988, branching measure-valued processes have become the main subject of his research (the name "superprocesses" suggested by him for these processes is now standard in mathematical literature). He established connections between superdiffusions and a class of nonlinear partial differential equations that makes it possible to apply powerful analytic tools for investigating the path behavior of superdiffusions and that provides a new probabilistic approach to problems on nonlinear PDEs. New directions - the description of all positive solutions of a certain class of nonlinear equations and the study of removable boundary singularities of such solutions - have been started in a series of joint papers of Dynkin and Kuznetsov.
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Click the extended CV for Selected Invited Lectures and Professional Activities.
Here is a list of students of E. B.
Genealogy Tree of Dynkin's School
Dynkin Collection of Mathematics Interviews
The list consists of three parts:
Eugene B. Dynkin
Department of Mathematics
Ithaca, NY 14853-4201
Phone: (607) 255-3404 (of)
(607) 273-1071 (h)
Last updated December 19, 2012