Journal of Noncommutative Geometry
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Published online: 2017-12-15
Spectral triples for nested fractalsDaniele Guido and Tommaso Isola (1) Università di Roma Tor Vergata, Rome, Italy
(2) Università di Roma Tor Vergata, Rome, Italy
It is shown that, for nested fractals , the main structural data, such as the Hausdorff dimension and measure, the geodesic distance (when it exists) induced by the immersion in $\mathbb R^n$, and the self-similar energy can all be recovered by the description of the fractals in terms of the spectral triples considered in .
Keywords: Spectral triple, nested fractal, self-similar energy, Hausdorff dimension, noncommutative distance
Guido Daniele, Isola Tommaso: Spectral triples for nested fractals. J. Noncommut. Geom. 11 (2017), 1413-1436. doi: 10.4171/JNCG/11-4-7