A GENERAL RESULT ON ABSOLUTE CONTINUITY OF NON-UNIFORM SELF-SIMILAR MEASURES ON THE REAL LINE

DOI10.1142/S0218348X08004113zbMath1177.28024OpenAlexW1982251010MaRDI QIDQ3598883

Jörg Neunhäuserer

Publication date: 3 February 2009

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x08004113

zbMATH Keywords

absolute continuityself-similar measuretransverselity

Mathematics Subject Classification ID

Fractals (28A80)

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Cites Work

• Hausdorff dimension for randomly perturbed self affine attractors
• The absolute continuity of the distribution of random sums with digits \(\{0,1,\dots,m-1\}\)
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• Absolute continuity of Bernoulli convolutions, a simple proof
• Self-similar measures and intersections of Cantor sets
• Measure and dimension for some fractal families