S. Steinerberger

activity

20152026

most citedStochastic Neighbor Embedding separates well-separated clusters

15 citations · 45 across the 40 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.PR2022

Guessing cards with complete feedback

Andrea Ottolini, Stefan Steinerberger

We consider the following game that has been used as a way of testing claims of extrasensory perception (ESP). One is given a deck of $mn$ cards comprised of $n$ distinct types eac…

math.AP2022

Magnetic Schrödinger operators and landscape functions

Jeremy G. Hoskins, Hadrian Quan, Stefan Steinerberger

We study localization properties of low-lying eigenfunctions of magnetic Schrödinger operators $\frac{1}{2} (- i \nabla - A (x))^{2} ϕ + V (x) ϕ = λ ϕ,$ where $V:Ω\rightarrow…

math.CO2022

Sums of Distances on Graphs and Embeddings into Euclidean Space

Stefan Steinerberger

Let $G = (V, E)$ be a finite, connected graph. We consider a greedy selection of vertices: given a list of vertices $x_{1}, \dots, x_{k}$ , take $x_{k + 1}$ to be any vertex maximizing the s…

math.CO2022

The Boundary of a Graph and its Isoperimetric Inequality

Stefan Steinerberger

We define, for any graph $G = (V, E)$ , a boundary $\partial G \subseteq V$ . The definition coincides with what one would expected for the discretization of (sufficiently nice) Euclide…