John T. Griesmer

activity

20082026

most citedRecurrence, rigidity, and popular differences

12 citations · 29 across the 19 of their papers we have counts for

collaborators

22 papers

math.DS2026

Bohr sets in sumsets III: expanding difference sets and almost Bohr sets

Pierre-Yves Bienvenu, John T. Griesmer, Anh N. Le +1

Let $G$ be a discrete abelian group. Følner showed that if $A \subseteq G$ has positive upper Banach density, then $A - A$ contains an almost Bohr set -- a set of the form $B \setm…

math.CO2026

Kneser- and Jin-type inverse theorems in discrete abelian groups

John T. Griesmer

We characterize the pairs of sets $A, B$ in an arbitrary (countable or uncountable) discrete abelian group $Γ$ satisfying $m ~ (A + B) < m ~ (A) + m ~ (B)$ , where $\tilde{…

math.NT2025

Discrete sumsets with one large summand

John T. Griesmer

If $A$ and $B$ are subsets of an abelian group, their sumset is $A + B := {a + b : a \in A, b \in B}$ . We study sumsets in discrete abelian groups, where at least one summand has positive…

math.NT2024

Intersective sets for sparse sets of integers

Pierre-Yves Bienvenu, John T. Griesmer, Anh N. Le +1

For $E \subset N$ , a subset $R \subset N$ is $E$ -intersective if for every $A \subset E$ having positive upper relative density, we have $R \cap (A - A) \neq \var…

math.DS2022

A set of 2-recurrence whose perfect squares do not form a set of measurable recurrence

John T. Griesmer

We say that $S \subset Z$ is a set of $k$ -recurrence if for every measure preserving transformation $T$ of a probability measure space $(X, μ)$ and every $A \subseteq X$ with $…

math.CO2022

Bohr sets in sumsets II: countable abelian groups

John T. Griesmer, Anh N. Le, Thái Hoàng Lê

We prove three results concerning the existence of Bohr sets in threefold sumsets. More precisely, letting $G$ be a countable discrete abelian group and $ϕ_{1}, ϕ_{2}, ϕ_{3} : G \to G$ be…