Tubular neighborhoods of nodal sets and diophantine approximation

Dmitry Jakobson; Dan Mangoubi

doi:10.1353/ajm.0.0066

Tubular neighborhoods of nodal sets and diophantine approximation

Dmitry Jakobson^*
, Dan Mangoubi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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..

Original language	English
Pages (from-to)	1109-1135
Number of pages	27
Journal	American Journal of Mathematics
Volume	131
Issue number	4
DOIs	https://doi.org/10.1353/ajm.0.0066
State	Published - Aug 2009
Externally published	Yes

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title = "Tubular neighborhoods of nodal sets and diophantine approximation",

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author = "Dmitry Jakobson and Dan Mangoubi",

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Tubular neighborhoods of nodal sets and diophantine approximation

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