The Geometry of Nodal Sets and Outlier Detection

Xiuyuan Cheng, Gal Mishne, Stefan Steinerberger

Let $(M,g)$ be a compact manifold and let $-\Delta {\varphi }_k={\lambda }_k{\varphi }_k$ be the sequence of Laplacian eigenfunctions. We present a curious new phenomenon which, so far, we only managed to under…