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Creators/Authors contains: "Demeter, Ciprian"

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  1. We investigate Fourier decay for Frostman measures supported on curves with nonzero curvature. We combine decoupling with known lower bounds for Furstenberg sets to extend the main result of Orponen [Ann. Fenn. Math. 48 (2023), pp. 113–139]. 
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  2. Abstract We prove moment inequalities for exponential sums with respect to singular measures, whose Fourier decay matches those of curved hypersurfaces. Our emphasis will be on proving estimates that are sharp with respect to the scale parameter $$N$$, apart from $$N^\epsilon $$ losses. In a few instances, we manage to remove these losses. 
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  3. null (Ed.)