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math.PR2019
Direction distribution for nodal components of random band-limited functions on surfaces
Suresh Eswarathasan, Igor Wigman
Let be a smooth compact Riemannian surface with no boundary. Given a smooth vector field with finitely many zeroes on , 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 without boundary, we estimate the Lebesgue norm of Laplace-Beltrami eigenfunctions when restricted to a wide variety of subsets of…