SPECTRUM OF THE LAPLACIAN ON THE VICSEK SET “WITH NO LOOSE ENDS”

DOI10.1142/S0218348X17500621zbMath1432.28011arXiv1611.02251MaRDI QIDQ5219471

Jiangyue Zhu, Robert S. Strichartz

Publication date: 12 March 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02251

zbMATH Keywords

spectral decimationVicsek setLaplacian on fractalsrestrictions of eigenfunctions

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractals (28A80)

Cites Work

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• Analysis of the Laplacian and spectral operators on the Vicsek set
• On a spectral analysis for the Sierpiński gasket.
• Laplacians on the basilica Julia set
• Laplacians on a family of quadratic Julia sets. II.
• Spectral analysis of Laplacians on the Vicsek set
• Laplacians on a family of quadratic Julia sets I
• Laplacians on Julia Sets III: Cubic Julia Sets and Formal Matings
• Hodge-de Rham Theory of K-Forms on Carpet Type Fractals
• USING PEANO CURVES TO CONSTRUCT LAPLACIANS ON FRACTALS

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