23 citations · 65 across the 22 of their papers we have counts for
3 papers · 1 filter
Positive Criticality and Optimal Hardy Inequality for Fractional Laplacians
Philipp Hake, Matthias Keller, Felix Pogorzelski
We characterize positive critical Hardy weights for general Laplacians on weighted graphs. We then apply this result to fractional Laplacians on general graphs and use the characte…
Spectrum of Lebesgue measure zero for Jacobi matrices of quasicrystals
Siegfried Beckus, Felix Pogorzelski
We study one-dimensional random Jacobi operators corresponding to strictly ergodic dynamical systems. In this context, we characterize the spectrum of these operators by non-unifor…
Uniform existence of the integrated density of states on metric Cayley graphs
Felix Pogorzelski, Fabian Schwarzenberger, Christian Seifert
Given a finitely generated amenable group we consider ergodic random Schrödinger operators on a Cayley graph with random potentials and random boundary conditions. We show that the…