12 citations · 22 across the 19 of their papers we have counts for
6 papers · 1 filter
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 is bounded from below and p…
On the Diffusion Geometry of Graph Laplacians and Applications
Xiuyuan Cheng, Manas Rachh, Stefan Steinerberger
We study directed, weighted graphs and consider the (not necessarily symmetric) averaging operator whe…
An amusing sequence of functions
Stefan Steinerberger
We consider the amusing sequence of functions given by Every rational point is even…
Refined Heinz-Kato-Löwner inequalities
Stefan Steinerberger
A version of the Cauchy-Schwarz inequality in operator theory is the following: for any two symmetric, positive definite matrices and arbitrary $X…
On the location of maximal of solutions of Schrödinger's equation
Manas Rachh, Stefan Steinerberger
We prove an inequality with applications to solutions of the Schrödinger equation. There is a universal constant , such that if is simply connected, $u…
Extracting Geography from Trade Data
Yuke Li, Tianhao Wu, Nicholas Marshall +1
Understanding international trade is a fundamental problem in economics -- one standard approach is via what is commonly called the "gravity equation", which predicts the total amo…