L. Hillairet

activity

20072025

most citedSpectral asymptotics for sub-Riemannian Laplacians. I: quantum ergodicity and quantum limits in the 3D contact case

43 citations · 74 across the 21 of their papers we have counts for

collaborators

Showing 2014 · math.SPShow all

2 papers · 2 filters

math.SP2014★ 2 cited

Moduli spaces of meromorphic functions and determinant of Laplacian

Luc Hillairet, Victor Kalvin, Alexey Kokotov

The Hurwitz space is the moduli space of pairs $(X, f)$ where $X$ is a compact Riemann surface and $f$ is a meromorphic function on $X$ . We study the Laplace operator $Δ^{∣ df ∣^{2}}$ o…

math.SP2014

Hyperbolic triangles without embedded eigenvalues

Luc Hillairet, Chris Judge

We consider the Neumann Laplacian acting on square-integrable functions on a triangle in the hyperbolic plane that has one cusp. We show that the generic such triangle has no eigen…