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Laplace-Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory
Suresh Eswarathasan, Theodore Kolokolnikov
We study the spectrum of the Laplace-Beltrami operator on ellipsoids. For ellipsoids that are close to the sphere, we use analytic perturbation theory to estimate the eigenvalues u…
Entropy of logarithmic modes
Suresh Eswarathasan
Let be a compact, boundaryless, Riemannian manifold whose geodesic flow on its unit sphere bundle is Anosov. Consider the (semiclassical) Laplace-Beltrami operator on .…
Tangent nodal sets for random spherical harmonics
Suresh Eswarathasan
In this note, we consider a fixed vector field on and study the distribution of points which lie on the nodal set (of a random spherical harmonic) where is also tange…
Averaged Pointwise Bounds for Deformations of Schrodinger Eigenfunctions
Suresh Eswarathasan, John A. Toth
Let (M,g) be a n-dimensional compact Riemannian manifold. We consider the magnetic deformations of semiclassical Schrodinger operators on M for a family of magnetic potentials that…