Research output: Working paper

Date | Submitted - 2015 |
---|---|

Number of pages | 26 |

Original language | English |

By using a combination of algebraic, geometric, and dynamical techniques, together with input from higher dimensional Diophantine approximation, we give a complete characterization of all linearly repetitive cut and project sets with cubical windows. We also prove that these are precisely the collection of such sets which satisfy subadditive ergodic theorems. The results are explicit enough to allow us to apply them to known classical models, and to construct linearly repetitive cut and project sets in all pairs of dimensions and codimensions in which they exist.

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Project: Research project (funded) › Research

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## Career Acceleration Fellowship: Circle rotations and their generalisation in Diophantine approximation

Project: Research project (funded) › Research

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