27 citations · 72 across the 15 of their papers we have counts for
4 papers · 1 filter
Hyperuniformity of random measures on Euclidean and hyperbolic spaces
Michael Björklund, Mattias Byléhn
We investigate lower asymptotic bounds of number variances for invariant locally square-integrable random measures on Euclidean and real hyperbolic spaces. In the Euclidean case we…
A Szemerédi type theorem for sets of positive density in approximate lattices
Michael Björklund, Alexander Fish
An extension of Szemerédi's Theorem is proved for sets of positive density in approximate lattices in general locally compact and second countable abelian groups. As a consequence,…
Simplices in large sets and directional expansion in ergodic actions
Michael Björklund, Alexander Fish
In this paper we study ergodic -actions and investigate expansion properties along cyclic subgroups. We show that under some spectral conditions there are always dire…
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…