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arXiv · 0707.4045

Tubular Neighborhoods of Nodal Sets and Diophantine Approximation

Dmitry Jakobson·Dan Mangoubi
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Abstract

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 application we consider the question of approximating points on M by nodal sets, and explore analogy with approximation by rational numbers.

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BibTeXRIS

Dmitry Jakobson, Dan Mangoubi. 2008-09-05. Tubular Neighborhoods of Nodal Sets and Diophantine Approximation. https://doi.org/10.1353/ajm.0.0066

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