Quasisymmetric Modification of Metrics on Self-Similar Sets

DOI10.1007/978-3-662-43920-3_9zbMath1318.28028OpenAlexW145346156MaRDI QIDQ5261849

Jun Kigami

Publication date: 8 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-43920-3_9

zbMATH Keywords

quasisymmetricSierpinski carpetself-similar setsscales and their gauge functions

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (9)

INVISIBLE SETS AND CONFORMAL DIMENSIONS OF SQUARE SIERPIŃSKI CARPETS ⋮ Ahlfors regular conformal dimension of metrics on infinite graphs and spectral dimension of the associated random walks ⋮ Uniformly branching trees ⋮ The topological Hausdorff dimension and transport properties of Sierpiński carpets ⋮ Conformal dimension via p-resistance: Sierpinski carpet ⋮ Quasisymmetric rigidity of square Sierpiński carpets ⋮ Unnamed Item ⋮ Time Changes of the Brownian Motion: Poincaré Inequality, Heat Kernel Estimate and Protodistance ⋮ Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions

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