Propriétés arithmétiques et topologiques d'une classe d'ensembles fractales

DOI10.4064/aa121-4-5zbMath1104.28003OpenAlexW2136939022MaRDI QIDQ5478111

Ali Messaoudi

Publication date: 30 June 2006

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa121-4-5

zbMATH Keywords

Hausdorff dimensionRauzy fractalself-affine

Mathematics Subject Classification ID

Fractals (28A80) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Automata sequences (11B85) Hausdorff and packing measures (28A78) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

S-adic Sequences: A Bridge Between Dynamics, Arithmetic, and Geometry ⋮ Boundary of the Rauzy fractal sets in \(\mathbb {R} \times \mathbb {C}\) generated by \(P(x) = x^4 - x^3 - x^2 - x - 1\) ⋮ Boundary parametrization of self-affine tiles ⋮ On a class of Rauzy fractals without the finiteness property ⋮ Topological properties of a class of cubic Rauzy fractals ⋮ A class of cubic Rauzy fractals

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