Nilspace factors for general uniformity seminorms, cubic exchangeability and limits
Auteur :
Candela, Pablo / Szegedy, Balazs
Éditeur :
American Mathematical Society
ISBN :
9781470465483
Date de publication :
31 juil. 2023
Dimensions :
25,4 x 17,8 cm
Langue :
Anglais
Pays d'origine :
USA
We study a class of measure-theoretic objects that we call cubic couplings, on which there is a common generalization of the Gowers norms and the Host– Kra seminorms. Our main result yields a complete structural description of cubic couplings, using nilspaces. We give three applications.