Generators of groups of Hamiltonian maps

Pierre Berger, Dmitry Turaev

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)237-252
Number of pages16
JournalIsrael Journal of Mathematics
Volume267
Issue number1
DOIs
StatePublished - 1 Jun 2025
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics

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