Mateusz Kula

collaborators

2 papers

math.GN2025

Kenyon Theorem Revisited

Szymon Głąb, Mateusz Kula

We study sets $E (Σ, q) = {\sum_{i = 1}^{\infty} σ_{i} q^{i} : (σ_{i}) \in Σ^{N}}$ for a finite set $Σ \subset R$ and $q \in (0, 1)$ . Under the assumption $q ∣Σ∣ = 1$ we pr…

math.CA2025

Center of distances and Bernstein sets

Mateusz Kula

We show that for any subset $A \subset [0, \infty)$ , where $0 \in A$ , there exists a Bernstein set $X \subset R$ such that $A$ is the center of distances of $X$ .