24 citations · 30 across the 2 of their papers we have counts for
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math.SP2007★ 6 cited
Tubular Neighborhoods of Nodal Sets and Diophantine Approximation
Dmitry Jakobson, Dan Mangoubi
We give upper and lower bounds on the volume of a tubular neighborhood of the nodal set of an eigenfunction of the Laplacian on a real analytic closed Riemannian manifold M. As an…
math.SP2007★ 24 cited
Local Asymmetry and the Inner Radius of Nodal Domains
Dan Mangoubi
Let M be a closed Riemannian manifold of dimension n. Let f be an eigenfunction of the Laplace-Beltrami operator corresponding to an eigenvalue λ. We show that the volume of {f>0}…