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20022022
most citedThe size of the nodal sets for the eigenfunctions of the smooth laplacian

2 citations · 2 across the 6 of their papers we have counts for

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math.AP2013

Eigenvalue gaps for the Laplacian on hypersurfaces of the sphere

Demetrios A. Pliakis

We provide lower estimates for the eigenvalues of the laplacian for hypersurfaces of the round sphere.

math.AP2013★ 2 cited

The size of the nodal sets for the eigenfunctions of the smooth laplacian

Demetrios A. Pliakis

We prove estimates for eigenfunctions on a manifold equipped with a smooth metric. We use these estimates in order estimate the size of their nodal sets.