Exceptional sets for self-similar fractals in Carnot groups

DOI10.1017/S0305004110000083zbMath1195.22005OpenAlexW2147277702MaRDI QIDQ3577738

Reto Berger, Roberto Monti, Zoltán M. Balogh, Jeremy T. Tyson

Publication date: 23 July 2010

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004110000083

zbMATH Keywords

exceptional setHausdorff dimensionCarnot groupself-affine fractal

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Fractals (28A80)

Related Items (1)

Hausdorff dimension of limsup sets of rectangles in the Heisenberg group

Cites Work

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• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• The Hausdorff dimension of self-affine fractals
• The dimension of self-affine fractals II
• Measure and dimension for some fractal families
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Hausdorff dimensions of self-similar and self-affine fractals in the Heisenberg group
• Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group

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