- journal article metadata
European Mathematical Society Publishing House
2017-12-18 23:40:03
Journal of Noncommutative Geometry
J. Noncommut. Geom.
JNCG
1661-6952
1661-6960
Global analysis, analysis on manifolds
General
10.4171/JNCG
http://www.ems-ph.org/doi/10.4171/JNCG
subscribers, moving wall 5 years
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
11
2017
4
Spectral triples for nested fractals
Daniele
Guido
Università di Roma Tor Vergata, Rome, Italy
Tommaso
Isola
Università di Roma Tor Vergata, Rome, Italy
Spectral triple, nested fractal, self-similar energy, Hausdorff dimension, noncommutative distance
It is shown that, for nested fractals [31], 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 [18].
Global analysis, analysis on manifolds
Measure and integration
1413
1436
10.4171/JNCG/11-4-7
http://www.ems-ph.org/doi/10.4171/JNCG/11-4-7
12
15
2017