7 papers
The Jamneshan-Tao conjecture for finite abelian groups of bounded rank
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
We confirm the Jamneshan-Tao conjecture for finite abelian groups of rank at most a fixed integer (i.e. finite abelian groups generated by at most elements), by proving an…
An inverse theorem for all finite abelian groups via nilmanifolds
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
We prove a first inverse theorem for Gowers norms on all finite abelian groups that uses only nilmanifolds (rather than possibly more general nilspaces). This makes progress toward…
Spectral algorithms in higher-order Fourier analysis
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
Our goal is to provide simple and practical algorithms in higher-order Fourier analysis which are based on spectral decompositions of operators. We propose a general framework for…
On the inverse theorem for Gowers norms in abelian groups of bounded torsion
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
In recent work, Jamneshan, Shalom and Tao proved an inverse theorem for the Gowers -norm on finite abelian groups of fixed torsion , where the final correlating harmoni…
On measure-preserving -systems of order
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
Building on previous work in the nilspace-theoretic approach to the study of Host-Kra factors of measure-preserving systems, we prove that every ergodic -system of…
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…