Dimitrios Charamaras

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math.DS2025

Infinite unrestricted sumsets in subsets of abelian groups with large density

Dimitrios Charamaras, Ioannis Kousek, Andreas Mountakis +1

Let $(G, +)$ be a countable abelian group such that the subgroup ${g + g : g \in G}$ has finite index and the doubling map $g \mapsto g + g$ has finite kernel. We establish lower bo…

math.DS2024

Finding product sets in some classes of amenable groups

Dimitrios Charamaras, Andreas Mountakis

In 2022, using methods from ergodic theory, Kra, Moreira, Richter, and Robertson resolved a longstanding conjecture of ErdÅs about sumsets in large subsets of the natural numbers.…