Ioannis Kousek

activity

20242026

most citedAsymmetric infinite sumsets in large sets of integers

1 citations · 1 across the 8 of their papers we have counts for

collaborators

8 papers

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 $B + B$ sumsets in abelian groups

Ioannis Kousek

Motivated by recent results \cite{charamaras_kousek_mountakis_radic2025BBingroups} on infinite sumsets of the form $B + B = {b_{1} + b_{2} : b_{1}, b_{2} \in B}$ in large subsets of abelian groups…

math.DS2026

Uniqueness of a topological Furstenberg system

Ioannis Kousek, Vicente Saavedra-Araya

Given a semigroup $G$ and a bounded function $f : G \to C$ , a topological Furstenberg system of $f$ is a topological dynamical system $X = (X, (T_{g})_{g \in G})$ that…

math.DS2025

On density analogs of Hindman's finite sums theorem

Felipe Hernández, Ioannis Kousek, Tristán Radić

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.DS2025★ 1 cited

Asymmetric infinite sumsets in large sets of integers

Ioannis Kousek

We show that for any set $A \subset N$ with positive upper density and any $ℓ, m \in N$ , there exist an infinite set $B \subset N$ and some $t\in \mathb…

math.CO2024

Revisiting sums and products in countable and finite fields

Ioannis Kousek

We establish a polynomial ergodic theorem for actions of the affine group of a countable field $K$ . As an application, we deduce--via a variant of Furstenberg's correspondence prin…

math.DS2024

Infinite unrestricted sumsets of the form $B + B$ in sets with large density

Ioannis Kousek, Tristán Radić

For a set $A \subset N$ we characterize in terms of its density when there exists an infinite set $B \subset N$ and $t \in {0, 1}$ such that $B + B \subset A - t$ , w…

A refined structure theorem for polynomial return-time sets in minimal systems

Sharp density conditions for infinite B+B sumsets in abelian groups

Uniqueness of a topological Furstenberg system

On density analogs of Hindman's finite sums theorem

Infinite unrestricted sumsets in subsets of abelian groups with large density

Asymmetric infinite sumsets in large sets of integers

Revisiting sums and products in countable and finite fields

Infinite unrestricted sumsets of the form B+B in sets with large density

Sharp density conditions for infinite $B + B$ sumsets in abelian groups

Infinite unrestricted sumsets of the form $B + B$ in sets with large density