18 citations · 30 across the 8 of their papers we have counts for
3 papers · 1 filter
Glivenko-Cantelli Theory, Ornstein-Weiss quasi-tilings, and uniform Ergodic Theorems for distribution-valued fields over amenable groups
Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselic
We consider random fields indexed by finite subsets of an amenable discrete group, taking values in the Banach-space of bounded right-continuous functions. The field is assumed to…
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…
A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states
Daniel Lenz, Fabian Schwarzenberger, Ivan Veselić
In this paper we consider bounded operators on infinite graphs, in particular Cayley graphs of amenable groups. The operators satisfy an equivariance condition which is formulated…