On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows

Mathematics – Symplectic Geometry

Scientific paper

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11 pages

Scientific paper

10.1155/IMRN/2006/34028

We show that if a sequence of Hamiltonian flows has a $C^0$ limit, and if the
generating Hamiltonians of the sequence have a limit, then this limit is
uniquely determned by the limiting $C^0$ flow. This answers a question by Y.G.
Oh.

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