Hausdorff dimensions of self-similar sets and shortest path metrics

DOI10.2969/jmsj/04730381zbMath0851.28002OpenAlexW1995020887MaRDI QIDQ1898875

Jun Kigami

Publication date: 18 November 1996

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

Full work available at URL: https://doi.org/10.2969/jmsj/04730381

zbMATH Keywords

Hausdorff dimensionself-similar setsresistance metricshortest path metric

Mathematics Subject Classification ID

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

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Weakly controlled Moran constructions and iterated functions systems in metric spaces ⋮ Brownian motion on a random recursive Sierpinski gasket ⋮ Hausdorff dimensions for graph-directed measures driven by infinite rooted trees ⋮ Spectral asymptotics for \(V\)-variable Sierpinski gaskets ⋮ On a question of A. Kameyama concerning self-similar metrics ⋮ When winning sets have full dimension ⋮ MODIFIED HANOI TOWERS GROUPS AND LIMIT SPACES ⋮ Dynamics of piecewise linear maps and sets of nonnegative matrices ⋮ Gradients on fractals ⋮ Eikonal equations on the Sierpinski gasket ⋮ Resistance forms, quasisymmetric maps and heat kernel estimates

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