15 citations · 45 across the 40 of their papers we have counts for
21 papers · 1 filter
Poissonian Pair Correlation in Higher Dimensions
Stefan Steinerberger
Let be a sequence on the torus (normalized to length 1). A sequence is said to have Poissonian pair correlation if, for all , $$ \l…
On Pointwise Products of Elliptic Eigenfunctions
Jianfeng Lu, Stefan Steinerberger
We consider eigenfunctions of Schrödinger operators on a dimensional bounded domain (or a dimensional compact manifold ) with Dirichlet conditions. These operators g…
Approximating Pointwise Products of Laplacian Eigenfunctions
Jianfeng Lu, Christopher D. Sogge, Stefan Steinerberger
We consider Laplacian eigenfunctions on a dimensional bounded domain (or a dimensional compact manifold ) with Dirichlet conditions. These operators give rise to a s…
A Nonlocal Transport Equation Describing Roots of Polynomials Under Differentiation
Stefan Steinerberger
Let be a polynomial of degree having all its roots on the real line distributed according to a smooth function . One could wonder how the distribution of roots be…
Quantitative Homogenization and Convergence of Moving Averages
Stefan Steinerberger
We study homogenization it its most basic form $$-\left(a\left(\frac{x}{\varepsilon}\right) u_{\varepsilon}'(x)\right)' = f(x) \quad \mbox{for} ~x \in (0,1),$$ where is…
A Remark on the Arcsine Distribution and the Hilbert Transform
Ronald R. Coifman, Stefan Steinerberger
It is known that if is a sequence of orthogonal polynomials in , then the roots are distributed according to an arcsine distribution…