An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation

DOI10.3906/mat-1702-55zbMath1424.28016arXiv1609.08302OpenAlexW2964142854WikidataQ130069565 ScholiaQ130069565MaRDI QIDQ4634131

Mustafa Saltan, Bünyamin Demir, Yunus Özdemir

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08302

zbMATH Keywords

Sierpinski gasketintrinsic metriccode representation

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (11)

Unnamed Item ⋮ A metric formula on a quotient space which is related to the sequence space $\Sigma _{2}$ ⋮ The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron ⋮ A discrete chaotic dynamical system on the Sierpinski gasket ⋮ Geodesic interpolation on Sierpiński gaskets ⋮ GEODESICS OF THE SIERPINSKI GASKET ⋮ GEODESICS OF HIGHER-DIMENSIONAL SIERPINSKI GASKET ⋮ The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations ⋮ The intrinsic metric on the box fractal ⋮ Intrinsic metrics on Sierpinski-like triangles and their geometric properties ⋮ The investigation of chaos conditions of some dynamical systems on the Sierpinski propeller

Cites Work

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• The average distance on the Sierpiński gasket
• Equidistribution and Brownian motion on the Sierpiński gasket
• Sierpiński gasket as a Martin boundary. II: The intrinsic metric
• Distances in Sierpiński graphs and on the Sierpiński gasket
• Isoperimetric Estimates on Sierpinski Gasket Type Fractals
• Shortest Paths in the Tower of Hanoi Graph and Finite Automata

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