3 papers
math.SP2026
Spectral pollution in substitution systems
Ram Band, Siegfried Beckus, Felix Pogorzelski +1
We study spectral properties of Schrödinger operators associated with substitution dynamical systems in higher dimensions. Focusing on periodic approximations generated by iterati…
math.SP2025
On measure estimates arising from Hausdorff distance convergence
Lior Tenenbaum
We discuss a method to estimate the measure of a compact set which is approximated using the Hausdorff distance by a sequence of compact sets. We do this by considering correspondi…
math.SP2025
Spectral approximation for substitution systems
Ram Band, Siegfried Beckus, Felix Pogorzelski +1
We study periodic approximations of aperiodic Schrödinger operators on lattices in Lie groups with dilation structure. The potentials arise through symbolic substitution systems t…