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math.DS2015
Perfectly ordered quasicrystals and the Littlewood conjecture
Alan Haynes, Henna Koivusalo, James Walton
Linearly repetitive cut and project sets are mathematical models for perfectly ordered quasicrystals. In a previous paper we presented a characterization of linearly repetitive cut…
math.DS2015
Linear repetitivity and subadditive ergodic theorems for cut and project sets
Alan Haynes, Henna Koivusalo, James Walton
By using a combination of algebraic, geometric, and dynamical techniques, together with input from higher dimensional Diophantine approximation, we give a complete characterization…