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

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

2003-10-10

arxiv.org/abs/math-ph/0310017v1

Physics

Mathematical Physics

19 pages

Scientific paper

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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