Linear repetitivity, I. Uniform subadditive ergodic theorems and applications

Details Linear repetitivity, I. Uniform subadditive ergodic theorems and applications Linear repetitivity, I. Uniform subadditive ergodic theorems and applications

2000-05-06

arxiv.org/abs/math/0005062v1

Mathematics

Dynamical Systems

15 pages

Scientific paper

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.

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