Energy measures of harmonic functions on the Sierpinski gasket

DOI10.1512/iumj.2014.63.5256zbMath1387.28009arXiv1212.0148OpenAlexW2964245332MaRDI QIDQ2926590

Renee Bell, Ching-Wei Ho, Robert S. Strichartz

Publication date: 31 October 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0148

zbMATH Keywords

Sierpiński gasketRadon-Nikodym derivativesenergy measuresKusuoka measureenergy Laplacian

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (9)

Ergodic properties of matrix equilibrium states ⋮ Some properties of energy measures on Sierpinski gasket type fractals ⋮ Mean value property of harmonic functions on the tetrahedral Sierpinski gasket ⋮ Non-degeneracy of the harmonic structure on Sierpiński gaskets ⋮ Estimates of the Local Spectral Dimension of the Sierpinski Gasket ⋮ Extensions and their minimizations on the Sierpinski gasket ⋮ Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions ⋮ Another point of view on Kusuoka's measure ⋮ The Kusuoka measure and the energy Laplacian on level-\(k\) Sierpiński gaskets

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