3 papers
math.CA2026
A set of points on the sphere with small Riesz energy
Stefan Steinerberger
We construct a set of points such that $$ \sum_{i \neq j} \frac{1}{\|x_i - x_j\|^2} \leq \frac{n^2 \log{n}}{4} + cn^2 + O(n^{1…
math-ph2025
From pinned billiard balls to partial differential equations
Krzysztof Burdzy, Jeremy G. Hoskins, Stefan Steinerberger
We discuss the propagation of kinetic energy through billiard balls fixed in place along a one-dimensional segment. The number of billiard balls is assumed to be large but finite a…
math.CA2025
Greedy Matching in Optimal Transport with concave cost
Andrea Ottolini, Stefan Steinerberger
We consider the optimal transport problem between a set of red points and a set of blue points subject to a concave cost function such as for $0< p <…