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math.DS2025
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…
math.CO2025
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…