Erratum to “On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows”

By C. Viterbo. 2005

54 citations recorded by the source corpus.

We show that if a sequence of Hamiltonian flows has a C0 limit, and if the generating Hamiltonians of the sequence have a limit, this limit is uniquely determined by the limiting C0 flow. This answers a question by Y.G. Oh in [Oh04].

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/15a6e91b25720917a29411a0286b48d193f4cf36

How researchers see this paper

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In Applied Mathematics

1. F. Zapolsky
2. Michael Entov
3. Sobhan Seyfaddini
4. R. Leclercq
5. Vincent Humilière
6. L. Polterovich

In Geometry and Topology

1. F. Zapolsky
2. Michael Entov
3. L. Polterovich
4. R. Leclercq
5. Sobhan Seyfaddini
6. Vincent Humilière
7. Michael Usher
8. E. Shelukhin

In Statistical and Nonlinear Physics

1. R. Leclercq
2. Sobhan Seyfaddini
3. Vincent Humilière
4. F. Zapolsky
5. Michael Entov
6. L. Polterovich

Citations in the corpus

• Quasi-morphisms and the Poisson bracket (2006, result): “We refer to [12, 14, 18] for other recent results related to C-behavior of Hamiltonians.”
• Coisotropic rigidity and $C^{0}$-symplectic geometry (2013, background): “Viterbo has conjectured [26] that there exists a constant C > 0, depending on g, such that γ(φ1H(L0), L0) 6 Cr.”