Dimensions of random self-affine multifractal Sierpinski sponges in $${{\mathbb{R}}^d}$$

Author:

Olsen Lars

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Reference32 articles.

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2. Bedford, T.: Crinkly curves, Markov partitions and box dimensions in self-similar sets. Ph.D. dissertation, University of Warwick (1984)

3. Barral J., Mensi M.: Gibbs measures on self-affine Sierpinski carpets and their singularity spectrum. Ergodic Theory Dyn. Syst. 27, 1419–1443 (2007)

4. Barral J., Mensi M.: Multifractal analysis of Birkhoff averages on ‘self-affine’ symbolic spaces. Nonlinearity 21, 2409–2425 (2008)

5. Cutler, C.D.: Measure disintegrations with respect to σ-stable monotone indices and pointwise representation of packing dimension. In: Proceedings of the 1990 Measure Theory Conference at Oberwolfach. Supplemento Ai Rendiconti del Circolo Mathematico di Palermo, Ser. II, vol. 28, pp. 319–340 (1992)

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