Showing math.APShow all
2 papers · 1 filter
math.AP2026
Optimal Spectral Inequality for the Higher-Dimensional Landau Operator
Sedef Ãzcan, Matthias Täufer
We prove optimal spectral inequalities for Landau operators in full space and in arbitrary dimension. Spectral inequalities are lower bounds on the L 2 -mass of functions in spectr…
math.AP2025
Graph structure of the nodal set and bounds on the number of critical points of eigenfunctions on Riemannian manifolds
Matthias Hofmann, Matthias Täufer
In this article, we illustrate and draw connections between the geometry of zero sets of eigenfunctions, graph theory and the vanishing order of eigenfunctions. We identify the nod…