An ergodic theorem for Delone dynamical systems and existence of the integrated density of states

Daniel Lenz; Peter Stollmann

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arXiv · math-ph/0310017

An ergodic theorem for Delone dynamical systems and existence of the integrated density of states

Daniel Lenz·Peter Stollmann

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Abstract

We study strictly ergodic Delone dynamical systems and prove an ergodic theorem for Banach space valued functions on the associated set of pattern classes. As an application, we prove existence of the integrated density of states in the sense of uniform convergence in distribution for the associated random operators.

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Daniel Lenz, Peter Stollmann. 2003-10-10. An ergodic theorem for Delone dynamical systems and existence of the integrated density of states. https://arxiv.org/abs/math-ph/0310017

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