Curves of infinite length in labyrinth fractals

DOI10.1017/S0013091509000169zbMath1228.28008OpenAlexW2083519516MaRDI QIDQ3006319

Bertran Steinsky, Ligia Loreta Cristea

Publication date: 10 June 2011

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

Full work available at URL: https://doi.org/10.1017/s0013091509000169

zbMATH Keywords

dendritefractalPerron-Frobenius theoremnonrectifiable curve

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (8)

ON MIXED TRIANGULAR LABYRINTHIC FRACTALS ⋮ Mixed labyrinth fractals ⋮ TRIANGULAR LABYRINTH FRACTALS ⋮ On the length of arcs in labyrinth fractals ⋮ On deformation of polygonal dendrites preserving the intersection graph ⋮ On \(\delta \)-deformations of polygonal dendrites ⋮ Supermixed labyrinth fractals ⋮ On the set of subarcs in some non-postrcritically finite dendrites

Cites Work

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• On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture
• Curves of infinite length in \(4 \times 4\)-labyrinth fractals
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• A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions
• A survey on topological properties of tiles related to number systems
• Non-negative matrices and Markov chains.
• On the structure of self-similar sets
• Self‐Similar Sets 2. A Simple Approach to the Topological Structure of Fractals
• Automatic Sequences

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