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math.SP2017
Spectral Limitations of Quadrature Rules and Generalized Spherical Designs
Stefan Steinerberger
We study manifolds equipped with a quadrature rule We show that point quadrature rules with nonnegative weights on…
math.SP2017
The Geometry of Nodal Sets and Outlier Detection
Xiuyuan Cheng, Gal Mishne, Stefan Steinerberger
Let be a compact manifold and let be the sequence of Laplacian eigenfunctions. We present a curious new phenomenon which, so far, we only managed to under…