Mean geodesic distance of the level-\(n\) Sierpinski gasket

DOI10.1016/j.jmaa.2021.125853zbMath1487.28009OpenAlexW3214992869MaRDI QIDQ2062592

Jiaqi Fan, Qianqian Ye, Jiangwen Gu, Li-Feng Xi

Publication date: 27 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125853

zbMATH Keywords

fractalself-similar measurelevel-\(n\) Sierpinski gasketmean geodesic distance

Mathematics Subject Classification ID

Fractals (28A80) Geometric embeddings of metric spaces (30L05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The ``hot spots conjecture for the Sierpiński gasket
• A generalized finite type condition for iterated function systems
• The average distance on the Sierpiński gasket
• Whitney's critical set in fractal.
• Taylor approximations on Sierpinski gasket type fractals
• Manhattan property of geodesic paths on self-affine carpets
• The Laplacian on the level 3 Sierpinski gasket via the method of averages
• The ``hot spots conjecture on the level-3 Sierpiński gasket
• Nonlinear elliptical equations on the Sierpiński gasket
• Average geodesic distance of skeleton networks of Sierpinski tetrahedron
• Differentiable points of Sierpinski-like sponges
• Average distances on self-similar sets and higher order average distances of self-similar measures
• Rectifiable curves in Sierpinski carpets
• FRACTALS, AVERAGE DISTANCE AND THE CANTOR SET
• HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
• Isoperimetric Estimates on Sierpinski Gasket Type Fractals
• A new estimate of the Hausdorff measure of the Sierpinski gasket
• On the packing measure of the Sierpinski gasket
• AVERAGE GEODESIC DISTANCE OF SIERPINSKI GASKET AND SIERPINSKI NETWORKS
• Average distances between points in graph‐directed self‐similar fractals
• GEODESICS OF THE SIERPINSKI GASKET
• GEODESICS OF HIGHER-DIMENSIONAL SIERPINSKI GASKET
• AVERAGE GEODESIC DISTANCE OF NODE-WEIGHTED SIERPINSKI NETWORKS
• Shortest Paths in the Tower of Hanoi Graph and Finite Automata

This page was built for publication: Mean geodesic distance of the level-\(n\) Sierpinski gasket