15 citations · 38 across the 12 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2018
Eigenfunctions and the Integrated Density of States on Archimedean Tilings
Norbert Peyerimhoff, Matthias Täufer
We study existence and absence of -eigenfunctions of the combinatorial Laplacian on the 11 Archimedean tilings of the Euclidean plane by regular convex polygons. We show th…
math-ph2017★ 2 cited
Unique continuation principles and their absence for Schrödinger eigenfunctions on combinatorial and quantum graphs and in continuum space
Norbert Peyerimhoff, Matthias Täufer, Ivan Veselic
For the analysis of the Schrödinger and related equations it is of central importance whether a unique continuation principle (UCP) holds or not. In continuum Euclidean space quant…
math-ph2016★ 5 cited
Wegner estimate for Landau-breather Hamiltonians
Matthias Täufer, Ivan Veselic
We consider Landau Hamiltonians with a weak coupling random electric potential of breather type. Under appropriate assumptions we prove a Wegner estimate. It implies the Hoelder co…