3 papers
math.AP2019
Nodal line estimates for the second Dirichlet eigenfunction
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We study the nodal curves of low energy Dirichlet eigenfunctions in generalized curvilinear quadrilaterals. The techniques can be seen as a generalization of the tools developed by…
math.AP2019
Eigenfunction concentration via geodesic beams
Yaiza Canzani, Jeffrey Galkowski
In this article we develop new techniques for studying concentration of Laplace eigenfunctions as their frequency, , grows. The method consists of controlling by…
math.AP2015
Nodal sets of Schrödinger eigenfunctions in forbidden regions
Yaiza Canzani, John Toth
This note concerns the nodal sets of eigenfunctions of semiclassical Schrödinger operators acting on compact, smooth, Riemannian manifolds, with no boundary. We prove that if H is…