An ergodic theorem for Delone dynamical systems and existence of the integrated density of states
Lenz, Daniel ; Stollmann, Peter
arXiv, 0310017 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-10-10
Classification:  Mathematical Physics,  Mathematics - Dynamical Systems,  52C23,  37A30,  82B44 
@article{0310017,
     author = {Lenz, Daniel and Stollmann, Peter},
     title = {An ergodic theorem for Delone dynamical systems and existence of the
  integrated density of states},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310017}
}

Lenz, Daniel; Stollmann, Peter. An ergodic theorem for Delone dynamical systems and existence of the
  integrated density of states. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310017/