176 citations · 768 across the 86 of their papers we have counts for
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Newton polygons and resonances of multiple delta-potentials
Kiril Datchev, Jeremy L. Marzuola, Jared Wunsch
We prove explicit asymptotics for the location of semiclassical scattering resonances in the setting of -dependent delta-function potentials on . In the cases of two…
Price's law on Minkowski space in the presence of an inverse square potential
Dean Baskin, Jesse Gell-Redman, Jeremy L. Marzuola
We consider the pointwise decay of solutions to wave-type equations in two model singular settings. Our main result is a form of Price's law for solutions of the massless Dirac-Cou…
Nodal Set Openings on Perturbed Rectangular Domains
Thomas Beck, Marichi Gupta, Jeremy L. Marzuola
We study the effects of perturbing the boundary of a rectangle on the nodal sets of eigenfunctions of the Laplacian. Namely, for a rectangle of a given aspect ratio , we identif…
Eigenvalue spacing for 1D singular Schrödinger operators
Luc Hillairet, Jeremy L. Marzuola
The aim of this paper is to provide uniform estimates for the eigenvalue spacings of one-dimensional semiclassical Schrödinger operators with singular potentials on the half-line.…
Stability of spectral partitions and the Dirichlet-to-Neumann map
Gregory Berkolaiko, Yaiza Canzani, Graham Cox +1
The oscillation of a Laplacian eigenfunction gives a great deal of information about the manifold on which it is defined. This oscillation can be encoded in the nodal deficiency, a…