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• W2550844486 abstract "We give asymptotic upper and lower bounds on the volume of a tubular neighbourhood of the nodal set of a Laplace eigenfunction on a smooth closed Riemannian manifold. We derive an analogue of a result of Cheng in higher dimensions regarding the interior opening angle of a nodal domain at a singular point. Lastly, we give some quantitative estimates for radii of inscribed balls in nodal domains on which the eigenfunction satisfies exponentially small $L^infty$ bounds." @default.
• W2550844486 created "2016-11-30" @default.
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• W2550844486 date "2016-08-18" @default.
• W2550844486 modified "2023-09-27" @default.
• W2550844486 title "Tubular neighbourhoods, cone conditions and inradius estimates" @default.
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