15 citations · 51 across the 47 of their papers we have counts for
18 papers · 1 filter
On the Logarithmic Energy of Points on S^2
Stefan Steinerberger
We revisit a classical question: how large is the minimal logarithmic energy of points on $$ \mathcal{E}_{\log}(n) = \min_{x_1, \dots, x_n \in \mathbb{S}^2} \qua…
Fast localization of eigenfunctions via smoothed potentials
Jianfeng Lu, Cody Murphey, Stefan Steinerberger
We study the problem of predicting highly localized low-lying eigenfunctions in bounded domains for rapidly varying potentials . Filoche &…
On a Kantorovich-Rubinstein inequality
Stefan Steinerberger
An easy consequence of Kantorovich-Rubinstein duality is the following: if is Lipschitz and , then $…
Free Convolution Powers via Roots of Polynomials
Stefan Steinerberger
Let be a compactly supported probability measure on the real line. Bercovici-Voiculescu and Nica-Speicher proved the existence of a free convolution power for…
On the Regularization Effect of Stochastic Gradient Descent applied to Least Squares
Stefan Steinerberger
We study the behavior of stochastic gradient descent applied to for invertible . We show that there is an explicit…
Using Expander Graphs to test whether samples are i.i.d
Stefan Steinerberger
The purpose of this note is to point out that the theory of expander graphs leads to an interesting test whether real numbers could be independent samples…