6 citations · 6 across the 10 of their papers we have counts for
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Pointwise Weyl Laws for Quantum Completely Integrable Systems
Suresh Eswarathasan, Allan Greenleaf, Blake Keeler
The study of the asymptotics of the spectral function for self-adjoint, elliptic differential, or more generally pseudodifferential, operators on a compact manifold has a long hist…
Nodal sets of eigenfunctions of sub-Laplacians
Suresh Eswarathasan, Cyril Letrouit
Nodal sets of eigenfunctions of elliptic operators on compact manifolds have been studied extensively over the past decades. In this note, we initiate the study of nodal sets of ei…
Restriction of Laplace-Beltrami eigenfunctions to arbitrary sets on manifolds
Suresh Eswarathasan, Malabika Pramanik
Given a compact Riemannian manifold without boundary, we estimate the Lebesgue norm of Laplace-Beltrami eigenfunctions when restricted to a wide variety of subsets of…
Scarring of quasimodes on hyperbolic manifolds
Suresh Eswarathasan, Lior Silberman
Let be a compact hyperbolic manifold, an embedded totally geodesic submanifold, and let be the semiclassical Laplace--Beltrami operator. For any $\…
Strong Scarring of Logarithmic Quasimodes
Suresh Eswarathasan, Stéphane Nonnenmacher
We consider a semiclassical (pseudo)differential operator on a compact surface , such that the Hamiltonian flow generated by its principal symbol admits a hyperbolic periodi…
Perturbation of the semiclassical Schrödinger equation on negatively curved surfaces
Suresh Eswarathasan, Gabriel Riviere
We consider the semiclassical Schrödinger equation on a compact negatively curved surface. For any sequence of initial data microlocalized on the unit cotangent bundle, we look at…
Expected values of eigenfunction periods
Suresh Eswarathasan
Let be a compact Riemannian surface. Consider a family of normalized Laplace-Beltrami eigenfunctions, written in the semiclassical form ,…
Smooth billiards with a large Weyl remainder
Suresh Eswarathasan, Iosif Polterovich, John A. Toth
The celebrated Hardy-Landau lower bound for the error term in the Gauss's circle problem can be viewed as an estimate from below for the remainder in Weyl's law on a square, with e…
Microlocal analysis of scattering data for nested conormal potentials
Suresh Eswarathasan
Working in the time domain, we show that the location of the singularities and the principal symbol of a potential that is conormal to nested submanifolds $S_2 \subset S_1 \subset…