An ergodic theorem for Delone dynamical systems and existence of the integrated density of states
Mathematical Physics
2007-05-23 v1 Dynamical Systems
math.MP
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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Cite
@article{arxiv.math-ph/0310017,
title = {An ergodic theorem for Delone dynamical systems and existence of the integrated density of states},
author = {Daniel Lenz and Peter Stollmann},
journal= {arXiv preprint arXiv:math-ph/0310017},
year = {2007}
}
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19 pages