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.
@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/