Journal d’Analyse Mathématique

, Volume 97, Issue 1, pp 1–24 | Cite as

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

  • Daniel Lenz
  • Peter Stollmann


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.


Banach Space Ergodic Theorem Selfadjoint Operator Pattern Class Random Operator 
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© The Hebrew University Magnes Press 2005

Authors and Affiliations

  1. 1.Fakultät für MathematikTechnische Universität ChemnitzChemnitzGermany

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