Trist'an Radi'c

activity

20242026

collaborators

4 papers

math.DS2026

Infinite sumsets in $U^{k} (I^¦)$ -uniform sets

TristÃ¡n RadiÄ

Extending recent developments of Kra, Moreira, Richter and Roberson, we study infinite sumset patterns in $U^{k} (I^¦)$ -uniform subsets of the integers, defined via the local uniformit…

math.DS2025

On density analogs of Hindman's finite sums theorem

Felipe HernÃ¡ndez, Ioannis Kousek, TristÃ¡n RadiÄ

For any set $A$ of natural numbers with positive upper Banach density, we show the existence of an infinite set $B$ and sequences $(t_{k})_{k \in N}, (s_{k})_{k \in N}$ …

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

Multiple partial rigidity rates in low complexity subshifts