AV Bolsinov, AA Oshemkov - Topological methods in the theory of …, 2006 - researchgate.net
The main object considered in the paper is the integrable Hamiltonian system. Starting from classical papers written more than 200 years ago, integrable Hamiltonian systems were …
In this thesis we study the problem of classification of symplectic structures in a neighbourhood of a singular compact orbit of a completely integrable system on a …
A Izosimov, B Khesin, M Mousavi - Annales de l'Institut Fourier, 2016 - numdam.org
Nous présentons une classification des orbites coadjointes génériques pour les groupes de symplectomorphismes et de difféomorphismes hamiltoniens des surfaces fermées …
E Miranda - Open Mathematics, 2014 - degruyter.com
The main purpose of this paper is to present in a unified approach to different results concerning group actions and integrable systems in symplectic, Poisson and contact …
SV Ngọc - Geometric Aspects of Analysis and Mechanics: In …, 2011 - Springer
We prove, under some generic assumptions, that the semiclassical spectrum modulo O (ћ 2) of a one-dimensional pseudodifferential operator completely determines the symplectic …
I Kirillov - International Mathematics Research Notices, 2023 - ieeexplore.ieee.org
Classification of Coadjoint Orbits for Symplectomorphism Groups of Surfaces Page 1 I. Kirillov (2023) “Classification of Coadjoint Orbits for Symplectomorphism Groups of Surfaces,” …
Dans cette thèse, nous prouvons des résultats de théorie spectrale, directe et inverse, dans la limite semi-classique, pour les opérateurs de Toeplitz autoadjoints sur les surfaces. Pour …
In this thesis, we classify generic coadjoint orbits for the action of symplectic (equivalently, area-preserving) diffeomorphisms of compact symplectic surfaces with or without boundary …
This article is a survey of classical and quantum completely integrable systems from the viewpoint of local``phase space''analysis. It advocates the use of normal forms and shows …