4 papers
math.NT2021
Gap asymptotics of the directions in an Ammann-Beenker-like quasicrystal
Gustav Hammarhjelm
It is known that the limiting gap distribution of the directions to visible points in planar quasicrystals of cut-and-project type exists as a continuous function . In this a…
math.NT2019
The density and minimal gap of visible points in some planar quasicrystals
Gustav Hammarhjelm
We give formulas for the density of visible points of several families of planar quasicrystals, which include the Ammann-Beenker point set and vertex sets of some rhombic Penrose t…
math.NT2018
The density of visible points in the Ammann-Beenker point set
Gustav Hammarhjelm
The relative density of visible points of the integer lattice is known to be for , where is Riemann's zeta function. In this paper we prove tha…
math.RA2018
On the classification of rational four-dimensional unital division algebras
Gustav Hammarhjelm
In a paper by E. Dieterich 2017, the category of four-dimensional unital division algebras, whose right nucleus is non-trivial and whose automorphism group contain…