vix.ing · top · new · best · stats · spec

On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows

2005/09/30 by Claude Viterbo · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Quantum chaos and dynamical systems #math.SG #msc:37J05 #msc:53D05 #msc:53D22 #msc:53D35

paper · pdf · doi:10.1155/imrn/2006/34028

published as International Mathematics Research Notices 2006 (05/2006) ID34028 · 11 pages

openalex publication_date 2006/01/01 · arxiv created 2006/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

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 Oh in 2005.

Cited by