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- W2493781312 abstract "It is shown that many important features of nested fractals, such as the Hausdorff dimension and measure, the geodesic distance induced by the immersion in (mathbb{R}^n) (when it exists), and the self-similar energy can be recovered by the description of the fractal in terms of spectral triples. We describe in particular the case of the Vicsek square, showing that all self-similar energies can be described through a deformation of the square to a rhombus." @default.
- W2493781312 created "2016-08-23" @default.
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- W2493781312 date "2016-01-01" @default.
- W2493781312 modified "2023-09-26" @default.
- W2493781312 title "New Results on Old Spectral Triples for Fractals" @default.
- W2493781312 cites W2151792428 @default.
- W2493781312 doi "https://doi.org/10.1007/978-3-319-29116-1_12" @default.
- W2493781312 hasPublicationYear "2016" @default.
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