6 papers
Uniform random covering problems
Henna Koivusalo, Lingmin Liao, Tomas Persson
Motivated by the random covering problem and the study of Dirichlet uniform approximable numbers, we investigate the uniform random covering problem. Precisely, consider an i.i.d.…
Cut and project sets with polytopal window II: linear repetitivity
Henna Koivusalo, James J. Walton
This paper gives a complete classification of linear repetitivity (LR) for a natural class of aperiodic Euclidean cut and project schemes with convex polytopal windows. Our results…
Sturmian ground states in classical lattice-gas models
Aernout van Enter, Henna Koivusalo, Jacek Miekisz
We construct for the first time examples of non-frustrated, two-body, infinite-range, one-dimensional classical lattice-gas models without periodic ground-state configurations. Gro…
Mass transference principle: from balls to arbitrary shapes
Henna Koivusalo, Michał Rams
The mass transference principle, proved by Beresnevich and Velani in 2006, is a strong result that gives lower bounds for the Hausdorff dimension of limsup sets of balls. We presen…
Dimension of generic self-affine sets with holes
Henna Koivusalo, Michał Rams
Let be a dynamical system, and let . Consider the survivor set \[ Σ_U=\{x\in Σ\mid σ^n(x)\notin U\textrm{for all}n\} \] of points that never enter the subset $…
Statistics of patterns in typical cut and project sets
Alan Haynes, Antoine Julien, Henna Koivusalo +1
In this article pattern statistics of typical cubical cut and project sets are studied. We give estimates for the rate of convergence of appearances of patches to their asymptotic…