We will survey new and old results on the “energy” of a set of affine transformations and see applications in the geometric side of additive combinatorics, in combinatorial geometry and in questions on growth in the affine group. In particular we will answer to the affirmative a question of Yufei Zhao.
Joint work with O. Roche-Newton, M. Rudnev and A. Warren.
This video is part of the Webinar in Additive Combinatorics series, and this is their YouTube channel.
