6 papers
On -affine-exchangeable probability measures
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
For any standard Borel space , let denote the space of Borel probability measures on . In relation to a difficult problem of Aldous in exchangeability theory…
Coloring graphs by translates in the circle
Pablo Candela, Carlos Catala, Robert Hancock +4
The fractional and circular chromatic numbers are the two most studied non-integral refinements of the chromatic number of a graph. Starting from the definition of a coloring base…
On sets with small sumset and m-sum-free sets in Z/pZ
Pablo Candela, Diego González-Sánchez, David J. Grynkiewicz
The conjecture in groups for prime states that if is a nonempty subset of satisfying $2A\neq \mathbb{Z}/p\mathbb{Z}…
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…
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…
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…