S. Steinerberger

activity

20152026

most citedStochastic Neighbor Embedding separates well-separated clusters

15 citations · 45 across the 39 of their papers we have counts for

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Showing 2017 · math.APShow all

2 papers · 2 filters

math.AP2017

On the Spectral Resolution of Products of Laplacian Eigenfunctions

Stefan Steinerberger

We study products of eigenfunctions of the Laplacian $- Δ ϕ_{λ} = λ ϕ_{λ}$ on compact manifolds. If $ϕ_{μ}, ϕ_{λ}$ are two eigenfunctions and $μ \leq λ$ , then one would perhaps expect their pr…

math.AP2017★ 2 cited

A Local Faber-Krahn inequality and Applications to Schrödinger's Equation

Janna Lierl, Stefan Steinerberger

We prove a local Faber-Krahn inequality for solutions $u$ to the Dirichlet problem for $Δ + V$ on an arbitrary domain $Ω$ in $R^{n}$ . Suppose a solution $u$ assumes a global…