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20152024
most citedImproved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositive curvature

12 citations · 63 across the 20 of their papers we have counts for

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math.AP2023

Surfaces in which every point sounds the same

Feng Wang, Emmett L. Wyman, Yakun Xi

We address a maximally structured case of the question, "Can you hear your location on a manifold," posed in arXiv:2304.04659 for dimension . In short, we show that if a compact…

math.AP2023

Can you hear your location on a manifold?

Emmett L. Wyman, Yakun Xi

We introduce a variation on Kac's question, "Can one hear the shape of a drum?" Instead of trying to identify a compact manifold and its metric via its Laplace--Beltrami spectrum,…