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math.DS2018
On nilspace systems and their morphisms
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
A nilspace system is a generalization of a nilsystem, consisting of a compact nilspace X equipped with a group of nilspace translations acting on X. Nilspace systems appear in diff…
math.DS2018
Nilspace factors for general uniformity seminorms, cubic exchangeability and limits
Pablo Candela, Balázs Szegedy
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 resul…