The Multiplicative Golden Mean Shift Has Infinite Hausdorff Measure

DOI10.1007/978-0-8176-8400-6_10zbMath1268.28006arXiv1201.5842OpenAlexW1666787334MaRDI QIDQ4928889

Yuval Peres, B. M. Solomyak

Publication date: 19 June 2013

Published in: Further Developments in Fractals and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5842

zbMATH Keywords

Hausdorff dimensionHausdorff measuregauges

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Cites Work

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• Hausdorff dimension of the multiplicative golden mean shift
• Level sets of multiple ergodic averages
• The Hausdorff dimension of general Sierpiński carpets
• The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure
• Hausdorff dimension for fractals invariant under multiplicative integers
• Probability Inequalities for Sums of Bounded Random Variables
• Functions continuous and singular with respect to a Hausdorff measure

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