15 citations · 45 across the 32 of their papers we have counts for
10 papers · 1 filter
On the Spectral Resolution of Products of Laplacian Eigenfunctions
Stefan Steinerberger
We study products of eigenfunctions of the Laplacian on compact manifolds. If are two eigenfunctions and , then one would perhaps expect their pr…
The Universal Aesthetics of Mathematics
Samuel G. B. Johnson, Stefan Steinerberger
The unique and beautiful character of certain mathematical results and proofs is often considered one of the most gratifying aspects of engaging with mathematics. We study whether…
A Local Faber-Krahn inequality and Applications to Schrödinger's Equation
Janna Lierl, Stefan Steinerberger
We prove a local Faber-Krahn inequality for solutions to the Dirichlet problem for on an arbitrary domain in . Suppose a solution assumes a global…
Randomized Near Neighbor Graphs, Giant Components, and Applications in Data Science
George C. Linderman, Gal Mishne, Yuval Kluger +1
If we pick random points uniformly in and connect each point to its nearest neighbors, then it is well known that there exists a giant connected component with hi…
Poissonian Pair Correlation and Discrepancy
Stefan Steinerberger
A sequence on the torus is said to exhibit Poissonian pair correlation if the local gaps behave like the gaps of a Poisson random va…
Stability, Fairness and Random Walks in the Bargaining Problem
Jakob Kapeller, Stefan Steinerberger
We study the classical bargaining problem and its two canonical solutions, (Nash and Kalai-Smorodinsky), from a novel point of view: we ask for stability of the solution if both pl…