23 citations · 65 across the 22 of their papers we have counts for
10 papers · 1 filter
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 iteratin…
Random operators, spectral measures, and local empirical convergence in sofic groups
Miguel Donoso-Echenique, Felix Pogorzelski, Michael Schrödl-Baumann
In this paper, we consider the problem of approximating the spectral distribution for a class of random operators over sofic groups. For this purpose, we make use of the concept of…
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 th…
Agmon estimates for Schrödinger operators on graphs
Matthias Keller, Felix Pogorzelski
We prove decay estimates for generalized eigenfunctions of discrete Schrödinger operators on weighted infinite graphs in the spirit of Agmon.
Criticality theory for Schrödinger operators on graphs
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski
We study Schrödinger operators given by positive quadratic forms on infinite graphs. From there, we develop a criticality theory for Schrödinger operators on general weighted graph…
An improved discrete Hardy inequality
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski
We improve the classical discrete Hardy inequality \begin{equation*}\label{1} \sum _{n=1}^{\infty }a_{n}^{2}\geq \left({\frac {1}{2}}\right)^{2} \sum _{n=1}^{\infty }\left({\frac {…
Optimal Hardy inequalities for Schrödinger operators on graphs
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski
For a given subcritical discrete Schrödinger operator on a weighted infinite graph , we construct a Hardy-weight which is optimal in the following sense. The operator $H…
Diffusion on Delone sets
Sebastian Haeseler, Xueping Huang, Daniel Lenz +1
We consider graphs associated to Delone sets in Euclidean space. Such graphs arise in various ways from tilings. Here, we provide a unified framework. In this context, we study the…
Geometry and spectrum of rapidly branching graphs
Matthias Keller, Felix Pogorzelski, Florentin Münch
We study graphs whose vertex degree tends and which are, therefore, called rapidly branching. We prove spectral estimates, discreteness of spectrum, first order eigenvalue and Weyl…
A Banach space-valued ergodic theorem for amenable groups and applications
Felix Pogorzelski, Fabian Schwarzenberger
In this paper we study unimodular amenable groups. The first part is devoted to results on the existence of uniform families of epsilon-quasi tilings for these groups. In this cont…