Abstract
AbstractWe show that the seif-affine sets considered by McMullen [15] and Bedford [2] have infinite packing measure in their packing dimension θ except when all non-empty rows of the initial pattern have the same number of rectangles. More precisely, the packing measure is infinite in the gauge tθ|logt|−1 and zero in the gauge tθ|logt|−1−δ for any δ > 0.
Publisher
Cambridge University Press (CUP)
Reference23 articles.
1. Subshifts of finite type and sofic systems
2. [21] Tricot C. . Sur la classification des ensembles boreliens de mesure de Lebesgue nulle. Thèse de doctorat, Genève (1979).
3. Intrinsic Markov chains
4. [13] Kenyon R. and Peres Y. . Hausdorff dimensions of affine-invariant sets. Preprint.
Cited by
33 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献