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math.DS2026
A refined structure theorem for polynomial return-time sets in minimal systems
Ioannis Kousek
We prove a refinement of a recent structural result in topological dynamics due to Glasscock, Koutsogiannis, Le, Moreira, Richter, and Robertson, who showed that in a minimal syste…
math.CO2026
Sharp density conditions for infinite sumsets in abelian groups
Ioannis Kousek
Motivated by recent results \cite{charamaras_kousek_mountakis_radic2025BBingroups} on infinite sumsets of the form in large subsets of abelian groups…
math.DS2026
Uniqueness of a topological Furstenberg system
Ioannis Kousek, Vicente Saavedra-Araya
Given a semigroup and a bounded function , a topological Furstenberg system of is a topological dynamical system that…