Pierre van Moerbeke

M. Pierre van Moerbeke ( born October 1, 1944 in Leuven ) is a Belgian mathematician.

Van Moerbeke studied mathematics at the Catholic University of Louvain (UCL, Licentiate 1966) and in 1972 at the Rockefeller University ( 1969 to 1972 he was) his doctorate under Henry McKean. In 1977 he was also a doctorate in sociology at UCL. In 1973/74 he was at the Institute for Advanced Study. In 1974 he was an associate professor at Stanford University, 1975-1978 Professor at the University Paris-Sud and 1977/78 Visiting Professor at the University of California, Berkeley. He was from 1972 professor at UCL and also from 1979 (each for the spring semester ) at Brandeis University.

Van Moerbeke dealt with Solitonenlösungen nonlinear differential equations and integrable systems, for example with the periodic Toda lattice ( with Mark Kac by the Rockefeller University). and the Hill 's equation ( with McKean ). , geodesic flows on groups, various centrifugal problems. He frequently collaborated with Mark Adler ( Brandeis University). They studied compounds of integrable systems with Lie algebras ( and Kac -Moody algebras, infinite dimensional Lie algebras ) and algebraic geometry. This van Moerbeke also tied to classical works of the 19th century (Carl Gustav Jacobi, Sofia Kovalevskaya, Paul Painlevé ), in the theory of integrable systems had a climax, before it was revived by the discovery of exactly integrable Solitonenlösungen in the 1960s. He also completed with Eagle proof of the Kovalevskaya over the algebraically integrable cases of gyration and laid it in a general theory of algebraically integrable systems of differential equations in the complex a .. In addition, he investigated compounds of integrable systems to random matrices, Zufallspermutationen and various problems of random paths (Random Walk ).

In 1988 he received the Francqui price in Belgium. He was invited speaker at the International Congress of Mathematicians in Warsaw 1983 ( Algebraic complete integrability of Hamiltonian systems and Kac -Moody Lie algebras - ).

Writings

  • With Mark Adler, Pol Vanhaecke Algebraic integrability, Painlevé Geometry and Lie Algebras, Springer 2004
  • With Ludwig Faddejew, Franklin Lambert (Editor) Bilinear integrable systems: from classical to quantum, continuous to discrete, Proc. NATO Advanced Research Workshop, Springer 2006
Hill differential equation Carl Gustav Jacob Jacobi Francqui Prize Integrated Authority File
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