Some Random sequences related to average density of self-similar measures

DOI10.1002/mana.200810183zbMath1222.28021OpenAlexW1999168284MaRDI QIDQ3087908

Ying Xiong, Zhi Xiong Wen

Publication date: 17 August 2011

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200810183

zbMATH Keywords

average densitylaw of iterated logarithmweighted averageself-similar measure

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Fractals (28A80)

Cites Work

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• Wavelet transforms and order-two densities of fractals
• Analogues of the Lebesgue Density Theorem for Fractal Sets of Reals and Integers
• Fractional differentiation in the self-affine case. IV — random measures
• A strong law for the maximum cumulative sum of independent random variables
• The (φ, s) Regular Subsets of n-Space

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