Ergodic methods in additive combinatorics
Ergodic methods in additive combinatorics
Shortly after Szemeredi's proof that a set of positive upper density contains arbitrarily long arithmetic progressions, Furstenberg gave a new proof of this theorem using ergodic theory. This gave rise to the field of ergodic Ramsey Theory, in which problems motivated by additive combinatorics are proven using ergodic theory. Ergodic …