Linear Repetitivity, I. Uniform Subadditive Ergodic Theorems and Applications
Linear Repetitivity, I. Uniform Subadditive Ergodic Theorems and Applications
复制标题
线性重复性，I. 一致次可加遍历定理及应用
DOI：
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发表时间：
2000
影响因子：
0.8
通讯作者：
Daniel Lenz
中科院分区：
文献类型：
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作者：
D. Damanik;Daniel Lenz
本文讨论了镶嵌理论中的线性重复性概念。本文证明了线性重复分片的一个一般一致次可加遍历定理。这个定理统一和推广了各种已知的关于镶嵌的（次）加法遍历定理。本文的结果可应用于随机算子和格子气模型的研究。
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.