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    Linear Repetitivity, I. Uniform Subadditive Ergodic Theorems and Applications

    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 extend...

    D. Damanik, D. Lenz in Discrete & Computational Geometry (2001)