2 citations · 4 across the 3 of their papers we have counts for
3 papers
math-ph2009★ 1 cited
An extension of the Duistermaat-Singer Theorem to the semi-classical Weyl algebra
Yves Colin De Verdière
Motivated by many recent works (by L. Charles, V. Guillemin, T. Paul, J. Sjöstrand, A. Uribe, S. Vu Ngoc, S. Zelditch and others) on the semi-classical Birkhoff normal forms, we in…
math-ph2009★ 1 cited
The semi-classical spectrum and the Birkhoff normal form
Yves Colin De Verdière
The purposes of this note are: 1) to propose a direct and "elementary" proof of the main result proved by Guillemin-Paul-Uribe [GPU], namely that the semi-classical spectrum near a…
math-ph2006★ 2 cited
Mathematical models for passive imaging II: Effective Hamiltonians associated to surface waves
Yves Colin de Verdiere
In the present paper which follows our previous paper ``Mathematical models for passive imaging I: general background'', we discuss the case of surface waves in a medium which is s…