Stefan Steinerberger

collaborators

4 papers

math.NT2025

On the largest singular vector of the Redheffer matrix

François Clément, Stefan Steinerberger

The Redheffer matrix $A_{n} \in R^{n \times n}$ is defined by setting $A_{ij} = 1$ if $j = 1$ or $i$ divides $j$ and 0 otherwise. One of its many interesting properties is tha…

math.CO2025

Small gaps in the Ulam sequence

François Clément, Stefan Steinerberger

The Ulam sequence, described by Stanislaw Ulam in the 1960s, starts $1, 2$ and then iteratively adds the smallest integer that can be uniquely written as the sum of two distinct ear…

math.PR2025

Regularizing random points by deleting a few

Dmitriy Bilyk, Stefan Steinerberger

It is well understood that if one is given a set $X \subset [0, 1]$ of $n$ independent uniformly distributed random variables, then $$ \sup_{0 \leq x \leq 1} \left| \frac{\# X \cap…

math.MG2025

A Stability Version of the Jones Opaque Set Inequality

Stefan Steinerberger

Let $Ω \subset R^{2}$ be a bounded, convex set. A set $O \subset R^{2}$ is an opaque set (for $Ω$ ) if every line that intersects $Ω$ also intersects $O$ . What is the m…