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- W2890628583 abstract "We show a norm convergence result for the Laplacian on a class of pcf self-similar fractals with arbitrary Borel regular probability measure which can be approximated by a sequence of finite-dimensional weighted graph Laplacians. As a consequence other functions of the Laplacians (heat operator, spectral projections etc.) converge as well in operator norm. One also deduces convergence of the spectrum and the eigenfunctions in energy norm." @default.
- W2890628583 created "2018-09-27" @default.
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- W2890628583 date "2018-10-04" @default.
- W2890628583 modified "2023-10-11" @default.
- W2890628583 title "Approximation of Fractals by Discrete Graphs: Norm Resolvent and Spectral Convergence" @default.
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- W2890628583 doi "https://doi.org/10.1007/s00020-018-2492-0" @default.
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