On dimensions of multitype Moran sets

DOI10.1017/S0305004105008686zbMath1082.28005MaRDI QIDQ3372733

Qing-Hui Liu, Zhi-Ying Wen

Publication date: 10 March 2006

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

zbMATH Keywords

dimensionsself-similar setsgraph-direct setsmultitype Moran setsnatural covering structurespetrum of quasicrystal

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (12)

Gibbs-like measure for spectrum of a class of quasi-crystals ⋮ The spectral properties of the strongly coupled Sturm Hamiltonian of eventually constant type ⋮ Hausdorff dimension of Moran sets with increasing spacing ⋮ HAUSDORFF MEASURES OF A CLASS OF MORAN SETS ⋮ The fractal dimensions of the spectrum of Sturm Hamiltonian ⋮ Dimensional results for the Moran-Sierpinski gasket ⋮ Dimension of the spectrum of one-dimensional discrete Schrödinger operators with Sturmian potentials ⋮ Dimensional results for Cartesian products of homogeneous Moran sets ⋮ Cookie-Cutter-Like Sets with Graph-Directed Construction ⋮ Dimensions of multitype Moran sets with lower limit of the contractions being zero ⋮ Some fractals associated with Cantor expansions ⋮ Almost sure frequency independence of the dimension of the spectrum of Sturmian Hamiltonians

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