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arXiv · 1901.08834

Uniform existence of the IDS on lattices and groups

Christoph Schumacher·Fabian Schwarzenberger·Ivan Veselic
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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.

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Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselic. 2019-01-25. Uniform existence of the IDS on lattices and groups. https://arxiv.org/abs/1901.08834

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