3 papers
math.DS2026
Self-similar Delone sets and Pisot numbers
Christoph Bandt, Yves Meyer
We consider Delone point patterns with self-similarity. Under mild conditions, the similarity factor is a Pisot number if and only if the pattern is uniformly discrete. The classic…
math.MG2026
Quasicrystal model sets from overlapping self-similar attractors
Christoph Bandt, Yves Meyer
We give a simple computational approach to mathematical quasicrystals, combining cut-and-project methods with self-similarity. Starting with a Pisot unit and an iterated functi…
math.NT2025
Asymptotic properties of zeros of Riemann zeta function
Juan Arias de Reyna, Yves Meyer
We try to define the sequence of zeros of the Riemann zeta function by an intrinsic property. Let be the sequence of nontrivial zeros of with posit…