Uniform existence of the IDS on lattices and groups
Probability
2019-01-28 v1 Dynamical Systems
Abstract
We present a general framework for thermodynamic limits and its applications to a variety of models. In particular we will identify criteria such that the limits are uniform in a parameter. All results are illustrated with the example of eigenvalue counting functions converging to the integrated density of states. In this case, the convergence is uniform in the energy.
Keywords
Cite
@article{arxiv.1901.08834,
title = {Uniform existence of the IDS on lattices and groups},
author = {Christoph Schumacher and Fabian Schwarzenberger and Ivan Veselic},
journal= {arXiv preprint arXiv:1901.08834},
year = {2019}
}
Comments
30 pages, 6 figures, proceedings of the conference Analysis and Geometry on Graphs and Manifolds 2017 at the University of Potsdam