格和群上IDS的一致存在性

Analysis and Geometry on Graphs and Manifolds Pub Date : 2019-01-25 DOI:10.1017/9781108615259.017

C. Schumacher, F. Schwarzenberger, I. Veselić

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引用次数: 0

摘要

我们提出了热力学极限的一般框架及其在各种模型中的应用。特别地，我们将确定这样的准则，即一个参数的极限是一致的。所有的结果都用特征值计数函数收敛于状态的积分密度的例子来说明。在这种情况下，收敛在能量上是一致的。

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Uniform Existence of the IDS on Lattices and Groups

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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Analysis and Geometry on Graphs and Manifolds

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