Suresh Eswarathasan

activity

20102021

collaborators

6 papers

math.CA2021

Fractal uncertainty principle for discrete Cantor sets with random alphabets

Suresh Eswarathasan, Xiaolong Han

In this paper, we investigate the fractal uncertainty principle (FUP) for discrete Cantor sets, which are determined by an alphabet from a base of digits. Consider the base of M di…

math.SP2021

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…

math.PR2019

Direction distribution for nodal components of random band-limited functions on surfaces

Suresh Eswarathasan, Igor Wigman

Let $(M, g)$ be a smooth compact Riemannian surface with no boundary. Given a smooth vector field $V$ with finitely many zeroes on $M$ , we study the distribution of the number of ta…

math.AP2019

Restriction of Laplace-Beltrami eigenfunctions to arbitrary sets on manifolds

Suresh Eswarathasan, Malabika Pramanik

Given a compact Riemannian manifold $(M, g)$ without boundary, we estimate the Lebesgue norm of Laplace-Beltrami eigenfunctions when restricted to a wide variety of subsets $Γ$ of…

math.SP2018

Tangent nodal sets for random spherical harmonics

Suresh Eswarathasan

In this note, we consider a fixed vector field $V$ on $S^{2}$ and study the distribution of points which lie on the nodal set (of a random spherical harmonic) where $V$ is also tange…

math.CA2010

Fourier integral operators, fractal sets and the regular value theorem

Suresh Eswarathasan, Alex Iosevich, Krystal Taylor

We prove that if $E \subset R^{2 d}$ , $d \geq 2$ , is an Ahlfors-David regular product set of sufficiently large Hausdorff dimension, denoted by $dim_{\mathcal H}({\…