Szymon Glkab

collaborators

3 papers

math.CA2025

Achievement sets -- current results and open problems

Szymon Głąb, Franciszek Prus-Wiśniowski

We survey recent developments in the theory of achievement sets and present a substantial collection of open problems.

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.CO2022

Evolutions of finite graphs

Stefan Geschke, Szymon Głąb, Wiesław Kubiś

Every countable graph can be built from finite graphs by a suitable infinite process, either adding new vertices randomly or imposing some rules on the new edges. On the other hand…