Collected Works 2000; 798 pp; hardcover Volume: 14 ISBN10: 0821810650 ISBN13: 9780821810651 List Price: US$148 Member Price: US$118.40 Order Code: CWORKS/14
 Eugene Dynkin is a rare example of a contemporary mathematician who has achieved outstanding results in two quite different areas of research: algebra and probability. In both areas, his ideas constitute an essential part of modern mathematical knowledge and form a basis for further development. Although his last work in algebra was published in 1955, his contributions continue to influence current research in algebra and in the physics of elementary particles. His work in probability is part of both the historical and the modern development of the topic. This volume presents Dynkin's scientific contributions in both areas. Included are Commentary by recognized experts in the corresponding fields who describe the time, place, role, and impact of Dynkin's research and achievements. Biographical notes and the recollections of his students are also featured. This book is jointly published by the AMS and the International Press. Readership Graduate students and research mathematicians interested in algebra and probability. Reviews "This volume consists of six seminal papers by Dynkin on Lie groups and Lie algebras ... An especially valuable feature is the inclusion of comments and corrections for most of the papers by Dynkin and his colleagues."  Mathematical Reviews Table of Contents Part I: Lie groups and Lie algebras  G. M. Seitz  Dynkin and Lie theory
 F. I. Karpelevich, A. L. Onishchik, and E. B. Vinberg  On the work of E. B. Dynkin in the theory of Lie groups
 F. I. Karpelevich, A. L. Onishchik, and E. B. Vinberg  Correction to On the work of E. B. Dynkin in the theory of Lie groups
 E. B. Dynkin  Classification of simple Lie groups
 E. B. Dynkin  Calculation of the coefficients in the CampbellHausdorff formula
 E. B. Dynkin  The maximal subgroups of the classical groups
 A. L. Onishchik  Comments on Maximal subgroups of the classical groups
 E. B. Dynkin  Semisimple subalgebras of semisimple Lie algebras
 A. L. Onishchik  Comments on the paper Semisimple subalgebras of semisimple Lie algebras
 E. B. Dynkin  Construction of primitive cycles in compact Lie groups
 E. B. Dynkin  Topological characteristics of homomorphisms of compact Lie groups
 A. L. Onishchik  Comments on the paper Topological characteristics of homomorphisms of compact Lie groups
 B. Kostant  Dynkin and modern Lie theory
 D. A. Vogan, Jr.  Comments on the impact of Dynkin's work on current research in representation theory
 A. Gabrielov  CoxeterDynkin diagrams and singularities
 K. Gottfried  Lie groups in physics
 Y. Ne'eman  Dynkin diagrams in the physics of particles, fields and strings
Part II: Probability theory  A. A. Yushkevich  Dynkin and probability theory
 E. B. Dynkin  Necessary and sufficient statistics for a family of probability distributions
 E. B. Dynkin  Some limit theorems for sums of independent random variables with infinite mathematical expectations
 E. B. Dynkin  Markov processes and semigroups of operators
 E. B. Dynkin and A. A. Yushkevich  Strong Markov processes
 E. B. Dynkin  Infinitesimal operators of Markov processes
 E. B. Dynkin  The natural topology and excessive functions connected with a Markov process
 E. B. Dynkin and M. B. Malyutov  Random walk on groups with a finite number of generators
 E. B. Dynkin  The optimum choice of the instant for stopping a Markov process
 E. B. Dynkin  Brownian motion in certain symmetric spaces and nonnegative eigenfunctions of the LaplaceBeltrami operator
 E. B. Dynkin  Diffusion of tensors
 E. B. Dynkin  Game variant of a problem on optimal stopping
 E. B. Dynkin and S. E. Kuznetsov  Determining functions of Markov processes and corresponding dual regular classes
 E. B. Dynkin  Economic equilibrium under uncertainty
 I. V. Evstigneev  Comments on Economic equilibrium under uncertainty
 E. B. Dynkin  Markov processes and random fields
 E. B. Dynkin  Green's and Dirichlet spaces associated with fine Markov processes
 E. B. Dynkin  Markov processes as a tool in field theory
 E. B. Dynkin and A. Mandelbaum  Symmetric statistics, Poisson point processes, and multiple Wiener integrals
 E. B. Dynkin  Gaussian and nonGaussian random fields associated with Markov processes
 E. B. Dynkin  Author's correction to Guassian and nonGaussian random fields associated with Markov processes.
 E. B. Dynkin  An application of flows to time shift and time reversal in stochastic processes
 E. B. Dynkin  Author's comments on An application of flows to time shift and time reversal in stochastic processes
 E. B. Dynkin  Representation for functionals of superprocesses by multiple stochastic integrals, with applications to selfintersection local times
 E. B. Dynkin  A probabilistic approach to one class of nonlinear differential equations
 E. B. Dynkin  Superdiffusions and parabolic nonlinear differential equations
 S. E. Kuznetsov  Comments on Superdiffusions and parabolic nonlinear differential equations
 P. A. Meyer  Dynkin and the theory of Markov processes
 A. A. Yushkevich  To the history of strong Markov property
 M. A. Olshanetsky  On compactifications of symmetric spaces
 J.F. Le Gall  Dynkin's contributions to superprocesses and partial differential equations
 I. V. Evstigneev  Dynkin's work in mathematical economics
 Acknowledgments
