For additional information see Michael Gekhtman's Personal Page.
Research Interests
Mathematical physics, Hamiltonian mechanics, integrable systems and Poisson geometry.
Selected Publications
- L. Faybusovich and M. Gekhtman. Elementary Toda orbits and integrable lattices. J. Math. Phys., 41:2905-2921, 2000.
- M. Gekhtman and M. Shapiro. Non-commutative and commutative integrability of generic Toda flows in simple Lie algebras. Comm. Pure & Appl. Math., 52:53-84, 1999.
- A. Bloch and M. Gekhtman. Hamiltonian and Gradient Structures in the Toda Flows Journ. of Geom. & Phys., 27:230-248,1998.
- M. Gekhtman. Hamiltonian structure of nonabelian Toda Lattice. Lett. Math. Phys., 46:189-205, 1998.
- M. Gekhtman and M. Shapiro. Completeness of real Toda flows and totally positive matrices. Math. Zeit., 226:51-66, 1997.
Please direct questions and comments to: Michael.Gekhtman.1@nd.edu
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