2 papers
math.AP2024
Hearing the shape of a drum by knocking around
Xing Wang, Emmett L. Wyman, Yakun Xi
We study a variation of Kac's question, "Can one hear the shape of a drum?" if we allow ourselves access to some additional information. In particular, we allow ourselves to ``hear…
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…