5 papers
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…
Anderson localization in high-contrast media with random spherical inclusions
Matteo Capoferri, Matthias Täufer
We study spectral properties of partial differential operators modelling composite materials with highly contrasting constituents, comprised of soft spherical inclusions with rando…
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…
Faber-Krahn inequality for the heat content on quantum graphs via random walk expansion
Patrizio Bifulco, Matthias Täufer
We study the heat content on quantum graphs and investigate whether an analogon of the Rayleigh-Faber-Krahn inequality holds. This means that heat content at time among graphs…
Torsional Rigidity on Metric Graphs with Delta-Vertex Conditions
Sedef Ãzcan, Matthias Täufer
We investigate the torsion function or landscape function and its integral, the torsional rigidity, of Laplacians on metric graphs subject to -vertex conditions. A variational…