Gaps problems and frequencies of patches in cut and project sets
(2016)
Journal Article
Haynes, A., Koivusalo, H., Sadun, L., & Walton, J. (2016). Gaps problems and frequencies of patches in cut and project sets. Mathematical Proceedings of the Cambridge Philosophical Society, 161(01), 65-85. https://doi.org/10.1017/s0305004116000128
We establish a connection between gaps problems in Diophantine approximation and the frequency spectrum of patches in cut and project sets with special windows. Our theorems provide bounds for the number of distinct frequencies of patches of size r,... Read More about Gaps problems and frequencies of patches in cut and project sets.