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math.NT2026★ 9 cited
Sumsets and entropy revisited
Ben Green, Freddie Manners, Terence Tao
The entropic doubling of a random variable taking values in an abelian group is a variant of the notion of the doubling constant of a f…
math.NT2024
Marton's Conjecture in abelian groups with bounded torsion
W. T. Gowers, Ben Green, Freddie Manners +1
We prove a Freiman--Ruzsa-type theorem with polynomial bounds in arbitrary abelian groups with bounded torsion, thereby proving (in full generality) a conjecture of Marton. Specifi…