Stefan Steinerberger

activity

20142019

most citedOn the Diffusion Geometry of Graph Laplacians and Applications

12 citations · 21 across the 14 of their papers we have counts for

collaborators

14 papers

math.CA2019

Transport and Interface: an Uncertainty Principle for the Wasserstein distance

Amir Sagiv, Stefan Steinerberger

Let $f : [0, 1]^{d} \to R$ be a continuous function with zero mean and interpret $f_{+} = max (f, 0)$ and $f_{-} = - min (f, 0)$ as the densities of two measures. We pr…

math.CA2019

Roots of trigonometric polynomials and the Erdős-Turán theorem

Stefan Steinerberger

We prove, informally put, that it is not a coincidence that $cos (n θ) + 1 \geq 0$ and that the roots of $z^{n} + 1 = 0$ are uniformly distributed in angle -- a version of the state…

math.CA2019

A forgotten Theorem of Schoenberg on one-sided integral averages

Stefan Steinerberger

Let $f : R \to R$ be a function for which we want to take local averages. Assuming we cannot look into the future, the 'average' at time $t$ can only use $f…

math.OC2019

A Nonlocal Functional Promoting Low-Discrepancy Point Sets

Stefan Steinerberger

Let $X = {x_{1}, \dots, x_{N}} \subset T^{d} ≅ [0, 1]^{d}$ be a set of $N$ points in the $d -$ dimensional torus that we want to arrange as regularly possible. The p…

math.SP2016★ 1 cited

A Spectral Gap Estimate and Applications

Bogdan Georgiev, Mayukh Mukherjee, Stefan Steinerberger

We consider the Schrödinger operator $$-\frac{d^2}{d x^2} + V \qquad \mbox{on an interval}~~[a,b]~\mbox{with Dirichlet boundary conditions},$$ where $V$ is bounded from below and p…

math.SP2016★ 12 cited

On the Diffusion Geometry of Graph Laplacians and Applications

Xiuyuan Cheng, Manas Rachh, Stefan Steinerberger

We study directed, weighted graphs $G = (V, E)$ and consider the (not necessarily symmetric) averaging operator $(L u) (i) = - j \sim i \sum p_{ij} (u (j) - u (i)),$ whe…