16 citations · 54 across the 22 of their papers we have counts for
31 papers
Badly approximable points on non-linear carpets
Roope Anttila, Jonathan M. Fraser, Henna Koivusalo
The badly approximable points in are those for which Dirichlet's approximation theorem cannot be improved by more than a constant, that is, they are the points most…
When is a cut and project set substitutional?
Edmund Harriss, Henna Koivusalo, James J. Walton
Cut and project sets are obtained by projecting an irrational slice through a lattice to a lower dimensional subspace. Under standard conditions, the resulting pattern has no trans…
On the Fourier transform of random Bernoulli convolutions
Simon Baker, Henna Koivusalo, Sascha Troscheit +1
We investigate random Bernoulli convolutions, namely, probability measures given by the infinite convolution \[ μ_ω= \mathop{\circledast}_{k=1}^{\infty} \left( \frac{δ_0 + δ_{λ_1 λ…
Dynamical covering sets in self-similar sets
Balazs Barany, Henna Koivusalo, Sascha Troscheit
We study the size of \emph{dynamical covering sets} on a self-similar set. Dynamical covering sets are limsup sets generated by placing shrinking target sets around points along an…
Hausdorff dimension of shrinking targets on Przytycki-Urbański fractals
Thomas Jordan, Henna Koivusalo
Shrinking target problems in the context of iterated function systems have received an increasing amount of interest in the past few years. The classical shrinking target problem c…
Sharp density discrepancy for cut and project sets: An approach via lattice point counting
Henna Koivusalo, Jean Lagacé, Michael Björklund +1
Cut and project sets are obtained by taking an irrational slice of a lattice and projecting it to a lower dimensional subspace, and are fully characterised by the shape of the slic…
The dimension of the set of -badly approximable points in all ambient dimensions; on a question of Beresnevich and Velani
Henna Koivusalo, Jason Levesley, Benjamin Ward +1
Let , and let -badly approximable points be those vectors in that are -well approximable, but not -well ap…
Quantitative recurrence and the shrinking target problem for overlapping iterated function systems
Simon Baker, Henna Koivusalo
In this paper we study quantitative recurrence and the shrinking target problem for dynamical systems coming from overlapping iterated function systems. Such iterated function syst…
Path-dependent shrinking targets in generic affine iterated function systems
Henna Koivusalo, Lingmin Liao, Ian Morris +1
We calculate the Hausdorff dimension of shrinking target sets of symbolic balls in generic affine iterated function systems with matrix norms bounded by . Relative to ea…
Diophantine approximation in metric space
Jonathan M. Fraser, Henna Koivusalo, Felipe A. Ramirez
Diophantine approximation is traditionally the study of how well real numbers are approximated by rationals. We propose a model for studying Diophantine approximation in an arbitra…
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…
Cut and project sets with polytopal window I: complexity
Henna Koivusalo, James J. Walton
We calculate the growth rate of the complexity function for polytopal cut and project sets. This generalises work of Julien where the almost canonical condition is assumed. The ana…
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…
Dimension of self-affine sets for fixed translation vectors
Balazs Barany, Antti Kaenmaki, Henna Koivusalo
An affine iterated function system is a finite collection of affine invertible contractions and the invariant set associated to the mappings is called self-affine. In 1988, Falcone…
A randomized version of the Littlewood Conjecture
Alan Haynes, Henna Koivusalo
The Littlewood Conjecture in Diophantine approximation can be thought of as a problem about covering the plane by a union of hyperbolas centered at rational points. In this paper w…
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices, II
Alan Haynes, Michael Kelly, Henna Koivusalo
Recent results of several authors have led to constructions of parallelotopes which are bounded remainder sets for totally irrational toral rotations. In this brief note we explain…
Hitting probabilities of random covering sets in tori and metric spaces
Esa Järvenpää, Maarit Järvenpää, Henna Koivusalo +3
We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical random covering set with a fixed analytic set both in Ahlfors regular metric sp…
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…
Self-affine sets with fibered tangents
Antti Kaenmaki, Henna Koivusalo, Eino Rossi
We study tangent sets of strictly self-affine sets in the plane. If a set in this class satisfies the strong separation condition and projects to a line segment for sufficiently ma…
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…