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20092025
most citedComparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues

6 citations · 15 across the 14 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.SP2016

Equidistribution of random waves on small balls

Xiaolong Han, Melissa Tacy

In this paper, we investigate the small scale equidistribution properties of randomised sums of Laplacian eigenfunctions (i.e. random waves) on a compact manifold. We prove small s…

math.AP2016★ 2 cited

A note on constructing sharp examples for norms of eigenfunctions and quasimodes near submanifolds

Melissa Tacy

In this note we analyse estimates for Laplacian eigenfunctions and quasimodes and their associated sharp examples. In particular we use previously determined estimates to p…