71 citations · 234 across the 31 of their papers we have counts for
Showing 2011Show all
2 papers · 1 filter
math.SG2011
Isospectrality for quantum toric integrable systems
Laurent Charles, Alvaro Pelayo, San Vu Ngoc
We settle affirmatively the isospectral problem for quantum toric integrable systems: the semiclassical joint spectrum of such a system, given by a sequence of commuting Toeplitz o…
math.DS2011★ 11 cited
Symplectic bifurcation theory for integrable systems
Alvaro Pelayo, Tudor S. Ratiu, San Vu Ngoc
This paper develops a symplectic bifurcation theory for integrable systems in dimension four. We prove that if an integrable system has no hyperbolic singularities and its bifurcat…