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Preprints, Working Papers, ... Year : 2005

On some completions of the space of Hamiltonian maps

Abstract

We study the completions of the space of Hamiltonian diffeomorphisms of the standard linear symplectic space, for Viterbo's distance and some others derived from it, we study their different inclusions and give some of their properties. In particular, we give a convergence criterion for these distances. This allows us to prove that the completions contain non-ordinary elements, as for example, discontinuous Hamiltonians.
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Dates and versions

hal-00014000 , version 1 (16-11-2005)
hal-00014000 , version 2 (11-01-2007)
hal-00014000 , version 3 (23-11-2007)

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Vincent Humilière. On some completions of the space of Hamiltonian maps. 2005. ⟨hal-00014000v1⟩
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