176 citations · 768 across the 86 of their papers we have counts for
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Uniform upper bounds on Courant sharp Neumann eigenvalues of chain domains
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We obtain upper bounds on the number of nodal domains of Laplace eigenfunctions on chain domains with Neumann boundary conditions. The chain domains consist of a family of planar d…
Limiting Eigenfunctions of Sturm-Liouville operators Subject to a Spectral Flow
Thomas Beck, Isabel Bors, Grace Conte +2
We examine the spectrum of a family of Sturm--Liouville operators with regularly spaced delta function potentials parametrized by increasing strength. The limiting behavior of the…
On the behavior of -Laplacian Ratio Cuts on nearly rectangular domains
Wesley Hamilton, Jeremy L. Marzuola, Hau-tieng Wu
Given a connected set , define a sequence of sets where is the subset of where the first eigenfunction of the (prop…
A symplectic perspective on constrained eigenvalue problems
Graham Cox, Jeremy L. Marzuola
The Maslov index is a powerful tool for computing spectra of selfadjoint, elliptic boundary value problems. This is done by counting intersections of a fixed Lagrangian subspace, w…
Spectrally Optimized Pointset Configurations
Braxton Osting, Jeremy L. Marzuola
The search for optimal configurations of pointsets, the most notable examples being the problems of Kepler and Thompson, have an extremely rich history with diverse applications in…
An Isoperimetric inequality for an integral operator on flat tori
Braxton Osting, Jeremy L. Marzuola, Elena Cherkaev
We consider a class of Hilbert-Schmidt integral operators with an isotropic, stationary kernel acting on square integrable functions defined on flat tori. For any fixed kernel whic…