Spectral decimation for families of self-similar symmetric Laplacians on the Sierpiński gasket

DOI10.4171/JFG/83zbMath1437.30016arXiv1709.02031MaRDI QIDQ2176595

Dylan A. King, Eun Bi Lee, Robert S. Strichartz, Sizhen Fang

Publication date: 5 May 2020

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02031

zbMATH Keywords

eigenvalueseigenfunctionsLaplacianSierpiński gasketfractional Laplacian

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractional partial differential equations (35R11) Analysis on metric spaces (30L99)

Related Items (4)

Spectral decimation of a self-similar version of almost Mathieu-type operators ⋮ Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar ⋮ Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs ⋮ Spectral decimation for a graph-directed fractal pair

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