Christoph Bandt

activity

20242026

collaborators

4 papers

math.NT2026

Equalities among simplest quartic fields: a complete classification

Zhi-Lin Zhang

For a positive integer $n$ , let $f_{n} (X) = X^{4} - n X^{3} - 6 X^{2} + n X + 1$ and let $K_{n} = Q (ρ_{n})$ , where $ρ_{n}$ is a root of $f_{n}$ . We determine all coincidences among these fields: for dis…

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 $I^^{2}$ and an iterated funct…

math.DS2025

Elementary fractal geometry. 6. The dynamical interior of self-similar sets

Christoph Bandt

On the one hand, the dynamical interior of a self-similar set with open set condition is the complement of the dynamical boundary. On the other hand, the dynamical interior is the…

math.MG2024

Elementary fractal geometry. 4. Automata-generated topological spaces

Christoph Bandt

Finite automata were used to determine multiple addresses in number systems and to find topological properties of self-affine tiles and finite type fractals. We join these two line…