Singularity of certain self-affine measures

DOI10.1016/j.jmaa.2008.05.083zbMath1153.28303OpenAlexW1992844946MaRDI QIDQ944328

Jian-Lin Li

Publication date: 16 September 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.083

zbMATH Keywords

singularityiterated function systemPisot numberself-affine measureprime factorization

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (5)

A necessary and sufficient condition for the finite \(\mu_{M,D}\)-orthogonality ⋮ Spectrality of a class of self-affine measures with decomposable digit sets ⋮ Spectral self-affine measures with prime determinant ⋮ Refinable functions, functionals, and iterated function systems ⋮ Continuous dependence on parameters of certain self-affine measures, and their singularity

Cites Work

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• \(\mu _{m,d}\)-orthogonality and compatible pair
• Bernoulli convolutions associated with certain non-Pisot numbers
• Self-similarity in harmonic analysis
• Affine systems: asymptotics at infinity for fractal measures
• Singularity of a class of self-similar measures
• Asymptotic behavior of Fourier transforms of self-similar measures
• Iterated Function Systems with Overlaps and Self-Similar Measures
• Self-Similar Measures and Their Fourier Transforms. II

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