43 citations · 74 across the 21 of their papers we have counts for
4 papers · 1 filter
DtN isospectrality, flat metrics with non-trivial holonomy and comparison formula for determinants of Laplacian
Luc Hillairet, Alexey Kokotov
We study comparison formulas for -regularized determinants of self-adjoint extensions of the Laplacian on flat conical surfaces of genus . The cases of trivial and non-…
Quantum ergodicity and quantum limits for sub-Riemannian Laplacians
Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat
This paper is a proceedings version of \cite{CHT-I}, in which we state a Quantum Ergodicity (QE) theorem on a 3D contact manifold, and in which we establish some properties of the…
Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction
G. Austin Ford, Andrew Hassell, Luc Hillairet
We investigate the singularities of the trace of the half-wave group, , on Euclidean surfaces with conical singularities . We compute the leadi…
Spectral asymptotics for sub-Riemannian Laplacians. I: quantum ergodicity and quantum limits in the 3D contact case
Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat
This is the first paper of a series in which we plan to study spectral asymptotics for sub-Riemannian Laplacians and to extend results that are classical in the Riemannian case con…