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math.SP2025
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…
math.SP2025
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…
math.SP2024
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…