Linear repetitivity, I. Uniform subadditive ergodic theorems and applications
Damanik, David ; Lenz, Daniel
arXiv, 0005062 / Harvested from arXiv
This paper is concerned with the concept of linear repetitivity in the theory of tilings. We prove a general uniform subadditive ergodic theorem for linearly repetitive tilings. This theorem unifies and extends various known (sub)additive ergodic theorems on tilings. The results of this paper can be applied in the study of both random operators and lattice gas models on tilings.
Publié le : 2000-05-06
Classification:  Mathematics - Dynamical Systems,  Mathematical Physics,  52C23, 37A30, 37B50
@article{0005062,
     author = {Damanik, David and Lenz, Daniel},
     title = {Linear repetitivity, I. Uniform subadditive ergodic theorems and
  applications},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0005062}
}
Damanik, David; Lenz, Daniel. Linear repetitivity, I. Uniform subadditive ergodic theorems and
  applications. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0005062/