Absolute continuity in families of parametrised non-homogeneous self-similar measures

DOI10.4171/JFG/127arXiv1812.05006OpenAlexW2904423372MaRDI QIDQ6057126

Tuomas Orponen, Antti Käenmäki

Publication date: 25 October 2023

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05006

zbMATH Keywords

convolutionprojectionabsolute continuityself-similar measure

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80) Hausdorff and packing measures (28A78)

Cites Work

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• On self-similar sets with overlaps and inverse theorems for entropy
• Absolute continuity of non-homogeneous self-similar measures
• A self-similar measure with dense rotations, singular projections and discrete slices
• On the exceptional set for absolute continuity of Bernoulli convolutions
• Absolute continuity of self-similar measures, their projections and convolutions
• L^qdimensions and projections of random measures
• Singularity versus exact overlaps for self-similar measures

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