7 citations · 7 across the 4 of their papers we have counts for
6 papers
Moment polytopes for symplectic manifolds with monodromy
San Vu Ngoc
A natural way of generalising Hamiltonian toric manifolds is to permit the presence of generic isolated singularities for the moment map. For a class of such ``almost-toric 4-manif…
Diophantine tori and spectral asymptotics for non-selfadjoint operators
Michael Hitrik, Johannes Sjoestrand, San Vu Ngoc
We study spectral asymptotics for small non-selfadjoint perturbations of selfadjoint -pseudodifferential operators in dimension 2, assuming that the classical flow of the unpert…
Symplectic Techniques for Semiclassical Completely Integrable Systems
San Vu Ngoc
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…
On semi-global invariants for focus-focus singularities
San Vu Ngoc
This article gives a classification, up to symplectic equivalence, of singular Lagrangian foliations given by a completely integrable system of a 4-dimensional symplectic manifold,…
Singular Bohr-Sommerfeld Rules for 2D Integrable Systems
Yves Colin de Verdiere, San Vu Ngoc
In this paper, we describe Bohr-Sommerfeld rules for semi-classical completely integrable systems with 2 degrees of freedom with non degenerate singularities (Morse-Bott singularit…
Bohr-Sommerfeld conditions for Integrable Systems with critical manifolds of focus-focus type
Vu Ngoc San
We present a detailed study, in the semi-classical regime , of microlocal properties of systems of two commuting h-PDO s , such that the joint principal s…