Generators of groups of Hamiltonian maps
Abstract We prove that analytic Hamiltonian dynamics on tori, annuli, or Euclidean space can be approximated by a composition of nonlinear shear maps where each of the shears depends only on the position or only on the momentum.
Authors
- Pierre Berger (ORCID: https://orcid.org/0000-0001-5268-0229)
- Dmitry Turaev (ORCID: https://orcid.org/0000-0002-4637-6447)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris Cité (FR)
- Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR)
- Sorbonne Université (FR)
- Imperial College London (GB)
Publication Details
- Journal
- Israel Journal of Mathematics
- Published
- 2024-12-18
- DOI
- https://doi.org/10.1007/s11856-024-2709-7
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Leverhulme Trust