On measures that improve \(L^q\) dimension under convolution

DOI10.4171/rmi/1198zbMath1459.28009arXiv1812.05660OpenAlexW3013444705MaRDI QIDQ1998703

Eino Rossi, Pablo Shmerkin

Publication date: 7 March 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05660

zbMATH Keywords

convolutionuniform perfectnessAhlfors-regular measures\(L^q\) dimension

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (5)

On arithmetic sums of Ahlfors-regular sets ⋮ Fourier decay behavior of homogeneous self-similar measures on the complex plane ⋮ Slices and distances: on two problems of Furstenberg and Falconer ⋮ On arithmetic sums of fractal sets in Rd ⋮ Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle

Cites Work

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• Weak separation condition, Assouad dimension, and Furstenberg homogeneity
• On the Dimension of Iterated Sumsets
• A Characterization of L p -Improving Measures
• Every complete doubling metric space carries a doubling measure
• L^p-improving properties of measures of positive energy dimension
• Cantor sets and numbers with restricted partial quotients
• Self-similar measures: asymptotic bounds for the dimension and Fourier decay of smooth images
• Self-affine measures that are L^p-improving
• Dimensions, Whitney covers, and tubular neighborhoods

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