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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…