Sumsets and entropy revisited

Ben Green, Freddie Manners, Terence Tao

The entropic doubling $\ddot{I}{ƒ}_{\mathrm{ent}}[X]$ of a random variable $X$ taking values in an abelian group $G$ is a variant of the notion of the doubling constant $\ddot{I}ƒ[A]$ of a f…