46 citations · 498 across the 29 of their papers we have counts for
29 papers
Inter model sets in are model sets
Christoph Richard, Nicolae Strungaru
We show that any translate of a model set is a model set in some modified cut-and-project scheme. Restricting to Euclidean direct space, we show that any translate of an inter mode…
Spectrum of weak model sets with Borel windows
Gerhard Keller, Christoph Richard, Nicolae Strungaru
Consider the extended hull of a weak model set together with its natural shift action. Equip the extended hull with the Mirsky measure, which is a certain natural pattern frequency…
Leptin densities in amenable groups
Felix Pogorzelski, Christoph Richard, Nicolae Strungaru
Consider a positive Borel measure on a locally compact group. We define a notion of uniform density for such a measure, which is based on a group invariant introduced by Leptin in…
On the Garden of Eden theorem for B-free subshifts
Gerhard Keller, Mariusz Lemanczyk, Christoph Richard +1
We prove that on B-free subshifts, with B satisfying the Erdös condition, all cellular automata are determined by monotone sliding block codes. In particular, this implies the vali…
Modulated crystals and almost periodic measures
Jeong-Yup Lee, Daniel Lenz, Christoph Richard +2
Modulated crystals and quasicrystals can simultaneously be described as modulated quasicrystals, a class of point sets introduced by de Bruijn in 1987. With appropriate modulation…
On sampling and interpolation by model sets
Christoph Richard, Christoph Schumacher
We refine a result of Matei and Meyer on stable sampling and stable interpolation for simple model sets. Our setting is model sets in locally compact abelian groups and Fourier ana…