Work

Generators of groups of Hamiltonian maps

Year: 2024

Type: article

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.

Source: Israel Journal of Mathematics

DOI: 10.1007/s11856-024-2709-7

Authors: Pierre Berger, Dmitry Turaev

Institutions: Centre National de la Recherche Scientifique, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université, Université Paris Diderot, Imperial College London

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Leverhulme Trust, H2020 European Research Council

Awards: G2634089122, Emergence of wild differentiable dynamical systems

OpenAlex ID: W4405686697

FWCI: 0.65

Cites: 15

Cited by: 1

Related to: 10