12 citations · 18 across the 3 of their papers we have counts for
7 papers
Aperiodic order and spherical diffraction, III: The shadow transform and the diffraction formula
Michael Björklund, Tobias Hartnick, Felix Pogorzelski
We define spherical diffraction measures for a wide class of weighted point sets in commutative spaces, i.e. proper homogeneous spaces associated with Gelfand pairs. In the case of…
Borel density for approximate lattices
Michael Björklund, Tobias Hartnick, Thierry Stulemeijer
We extend classical density theorems of Borel and Dani--Shalom on lattices in semisimple, respectively solvable algebraic groups over local fields to approximate lattices. Our proo…
Ergodicity and type of nonsingular Bernoulli actions
Michael Björklund, Zemer Kosloff, Stefaan Vaes
We determine the Krieger type of nonsingular Bernoulli actions . When is abelian, we do this for arbitrary marginal measures $…
Spectral theory of approximate lattices in nilpotent Lie groups
Michael Björklund, Tobias Hartnick
We show that an approximate lattice in a nilpotent Lie group admits a relatively dense subset of central -Bragg peaks for every . For the Heisenberg group we deduce th…
Central Limit Theorems for Diophantine approximants
Michael Björklund, Alexander Gorodnik
In this paper we study counting functions representing the number of solutions of systems of linear inequalities which arise in the theory of Diophantine approximation. We develop…
Bohr sets in triple products of large sets in amenable groups
Michael Björklund, John T. Griesmer
We answer a question of Hegyvári and Ruzsa concerning effective estimates of the Bohr-regularity of certain triple sums of sets with positive upper Banach densities in the integers…