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math.NT2023
On a conjecture of Marton
W. T. Gowers, Ben Green, Freddie Manners +1
We prove a conjecture of K. Marton, widely known as the polynomial Freiman--Ruzsa conjecture, in characteristic . The argument extends to odd characteristic, with details to fol…
math.NT2023★ 12 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 fin…