4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.SP2009
A remainder estimate for Weyl's law on Liouville tori
Hugues Lapointe
The paper is concerned with the asymptotic distribution of Laplace eigenvalues on Liouville tori. Liouville metrics are the largest known class of integrable metrics on two-dimensi…
math.SP2008★ 2 cited
Average growth of the spectral function on a Riemannian manifold
Hugues Lapointe, Iosif Polterovich, Yuri Safarov
We study average growth of the spectral function of the Laplacian on a Riemannian manifold. Two types of averaging are considered: with respect to the spectral parameter and with r…
math.DG2005★ 4 cited
Spectral properties of bipolar minimal surfaces in S^4
Hugues Lapointe
The i-th eigenvalue of the Laplacian on a surface can be viewed as a functional on the space of Riemannian metrics of fixed area. Extremal points of these functionals correspond to…