Approximation of fractals by discrete graphs: norm resolvent and spectral convergence

DOI10.1007/s00020-018-2492-0zbMath1459.28008arXiv1704.00064OpenAlexW2890628583MaRDI QIDQ1990929

Jan Simmer, Olaf Post

Publication date: 26 October 2018

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00064

zbMATH Keywords

discrete approximationspectral convergencepost-critically finite fractalsconvergence of operators

Mathematics Subject Classification ID

Fractals (28A80)

Related Items

Graph‐like spaces approximated by discrete graphs and applications ⋮ Wildly perturbed manifolds: norm resolvent and spectral convergence ⋮ Convergence of Laplacians on smooth spaces towards the fractal Sierpiński gasket ⋮ Approximation of partial differential equations on compact resistance spaces ⋮ On the viscous Burgers equation on metric graphs and fractals

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