Linear Repetitivity, I. Uniform Subadditive Ergodic Theorems and Applications
نویسندگان
چکیده
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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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 26 شماره
صفحات -
تاریخ انتشار 2001