16 citations · 54 across the 22 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.DS2014★ 16 cited
Gaps problems and frequencies of patches in cut and project sets
Alan Haynes, Henna Koivusalo, Lorenzo Sadun +1
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 provid…
math.DS2014
Recurrence to shrinking targets on typical self-affine fractals
Henna Koivusalo, Felipe A. Ramírez
We explore the problem of finding the Hausdorff dimension of the set of points that recur to shrinking targets on a self-affine fractal. To be exact, we study the dimension of a ce…
math.DS2014
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices
Alan Haynes, Henna Koivusalo
For any irrational cut-and-project setup, we demonstrate a natural infinite family of windows which gives rise to separated nets that are each bounded distance to a lattice. Our pr…