Stefan Steinerberger

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20242026

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4 papers · 1 filter

math.CA2026

Buffon Discrepancy and the Steinhaus Longimeter

Stefan Steinerberger

Let $I^c ◯ \subset R^{2}$ be a convex set. We study the problem of distributing a one-dimensional set $S$ with total length $L$ so that for any line $ℓ$ in $R^{2}$ the…

math.CA2025

Many critical points for discrete Riesz energy on $T^{2}$

FranÃ§ois ClÃ©ment, Stefan Steinerberger

It is widely believed that the energy functional $E_{p} : (S^{2})^{n} \to R$ $E_{p} = i \neq = j i , j = 1 \sum n \frac{1}{∥ x _{i} - x _{j} ∥ ^{p}}$ has a number of cr…

math.CA2025

Potential Theory and the Boundary of Combinatorial Graphs

Stefan Steinerberger

Let $G = (V, E)$ be a finite, connected graph. We investigate a notion of boundary $\partial G \subseteq V$ and argue that it is well behaved from the point of view of potential theor…

math.CA2024

Failure of Orthogonality of Rounded Fourier Bases

The purpose of this note is to prove estimates for $$ \left| \sum_{k=1}^{n} \mbox{sign} \left( \cos \left( \frac{2Ïa}{n} k \right) \right) \mbox{sign} \left( \cos \left( \frac{2Ï…

Buffon Discrepancy and the Steinhaus Longimeter

Many critical points for discrete Riesz energy on T2

Potential Theory and the Boundary of Combinatorial Graphs

Failure of Orthogonality of Rounded Fourier Bases

Many critical points for discrete Riesz energy on $T^{2}$