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An algorithmic Polynomial Freiman-Ruzsa theorem
Davi Castro-Silva, Jop Briët, Srinivasan Arunachalam +2
We provide algorithmic versions of the Polynomial Freiman-Ruzsa theorem of Gowers, Green, Manners, and Tao (Ann. of Math., 2025). In particular, we give a polynomial-time algorithm…
Algorithmic Polynomial Freiman-Ruzsa Theorems
Srinivasan Arunachalam, Davi Castro-Silva, Arkopal Dutt +1
We prove algorithmic versions of the polynomial Freiman-Ruzsa theorem of Gowers, Green, Manners, and Tao (Annals of Mathematics, 2025) in additive combinatorics. In particular, we…
Quasirandomness in additive groups and hypergraphs
Davi Castro-Silva
Quasirandomness is a general mathematical concept meant to encapsulate several characteristics usually satisfied by random combinatorial objects, and which we regard as describing…