10 citations · 26 across the 18 of their papers we have counts for
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math.DS2018★ 9 cited
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.CO2018
A step beyond Freiman's theorem for set addition modulo a prime
Pablo Candela, Oriol Serra, Christoph Spiegel
Freiman's 2.4-Theorem states that any set satisfying and can be covered by an arithmetic progression of length at most…
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…