1 citations · 1 across the 8 of their papers we have counts for
11 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…
Free nilspaces, double-coset nilspaces, and Gowers norms
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
Compact finite-rank nilspaces have become central in the nilspace approach to higher-order Fourier analysis, notably through their role in a general form of the inverse theorem for…
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…
On higher-order Fourier analysis in characteristic
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
In this paper, the nilspace approach to higher-order Fourier analysis is developed in the setting of vector spaces over a prime field , with applications mainly in er…
A refinement of Cauchy-Schwarz complexity
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
We introduce a notion of complexity for systems of linear forms, called sequential Cauchy-Schwarz complexity, which is parametrized by two positive integers and refines th…
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}…
A Plünnecke-Ruzsa inequality in compact abelian groups
Pablo Candela, Diego González-Sánchez, Anne de Roton
The Plünnecke-Ruzsa inequality is a fundamental tool to control the growth of finite subsets of abelian groups under repeated addition and subtraction. Other tools to handle sumset…