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math.AP2018
Spectrum of the Laplacian on Regular Polyhedra
Evan Greif, Daniel Kaplan, Robert S. Strichartz +1
We study eigenvalues and eigenfunctions of the Laplacian on the surfaces of four of the regular polyhedrons: tetrahedron, octahedron, icosahedron and cube. We show two types of eig…
math.AP2018
Spectral Asymptotics of the Laplacian on Surfaces of Constant Curvature
Timothy Murray, Robert S. Strichartz
The purpose of this paper is to explore the asymptotics of the eigenvalue spectrum of the Laplacian on 2 dimensional spaces of constant curvature, giving strong experimental eviden…