Showing 2023 · math.APShow all
2 papers · 2 filters
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,…