Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle

DOI10.15781/gw9q-k252zbMath1481.28008arXiv2012.02747OpenAlexW3193323843MaRDI QIDQ5163979

Laura Cladek, Terence C. Tao

Publication date: 9 November 2021

Full work available at URL: https://arxiv.org/abs/2012.02747

zbMATH Keywords

Ahlfors-David regular setsadditive energyfractal uncertainty principle

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (2)

On arithmetic sums of Ahlfors-regular sets ⋮ Fourier decay for curved Frostman measures

Cites Work

• Unnamed Item
• Spectral gaps, additive energy, and a fractal uncertainty principle
• Large values of the Gowers-Host-Kra seminorms
• A probabilistic technique for finding almost-periods of convolutions
• On self-similar sets with overlaps and inverse theorems for entropy
• Dolgopyat's method and the fractal uncertainty principle
• On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions
• Spectral gaps without the pressure condition
• On the Bogolyubov-Ruzsa lemma
• On measures that improve \(L^q\) dimension under convolution
• A higher-dimensional Bourgain-Dyatlov fractal uncertainty principle
• Fractal uncertainty principle with explicit exponent
• Dimension growth for iterated sumsets
• Product set estimates for non-commutative groups
• On the Erdős-Volkmann and Katz-Tao ring conjectures
• ON A NONABELIAN BALOG–SZEMERÉDI-TYPE LEMMA
• The structure theory of set addition revisited
• On the Discretized Sum-Product Problem
• An introduction to fractal uncertainty principle
• A new proof of Szemerédi's theorem

This page was built for publication: Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle