43 citations · 172 across the 24 of their papers we have counts for
8 papers · 1 filter
On gravito-inertial surface waves
Yves Colin de Verdière, Jérémie Vidal
In geophysical environments, wave motions that are shaped by the action of gravity and global rotation bear the name of gravito-inertial waves. We present a geometrical description…
Internal waves in 2D domains with ergodic classical dynamics
Yves Colin de Verdière, Zhenhao Li
We study a model of internal waves in an effectively 2D aquarium under periodic forcing. In the case when the underlying classical dynamics has sufficiently irrational rotation num…
Propagation of well-prepared states along Martinet singular geodesics
Yves Colin de Verdière, Cyril Letrouit
We prove that for the Martinet wave equation with "flat" metric, which a subelliptic wave equation, singularities can propagate at any speed between 0 and 1 along any singular geod…
Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results
Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat
We establish small-time asymptotic expansions for heat kernels of hypoelliptic Hörmander operators in a neighborhood of the diagonal, generalizing former results obtained in partic…
On essential-selfadjointness of differential operators on closed manifolds
Yves Colin de Verdìère, Corentin Le Bihan
The goal of this note is to present some arguments leading to the conjecture that a formally self-adjoint differential operator on a closed manifold is essentially self-adjoint if…
Singularities of the wave trace for the Friedlander model
Yves Colin de Verdiere, Victor Guillemin, David Jerison
In a recent preprint, we showed that for the Dirichlet Laplacian on the unit disk, the wave trace , which has complicated singularities on ,…