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math.DS2015★ 13 cited
Toeplitz flows and model sets
Michael Baake, Tobias Jaeger, Daniel Lenz
We show that binary Toeplitz flows can be interpreted as Delone dynamical systems induced by model sets and analyse the quantitative relations between the respective system paramet…
math.DS2000
Linear repetitivity, I. Uniform subadditive ergodic theorems and applications
David Damanik, Daniel Lenz
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. Th…