It is shown that, for nested fractals [T.Lindstrom, Mem. Amer. Math. Soc. 420, 1990], the main structural data, such as the Hausdorff dimension and measure, the geodesic distance (when it exists) induced by the immersion in Rn, and the self-similar energy can all be recovered by the description of the fractals in terms of the spectral triples considered in [D.Guido, T.Isola, in "Advances in Operator Algebras and Mathematical Physics", Theta Series in Advanced Mathematics, Bucharest 2005].

Guido, D., Isola, T. (2017). Spectral triples for nested fractals. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 11(4), 1413-1436 [10.4171/JNCG/11-4-7].

Spectral triples for nested fractals

Guido, Daniele
Membro del Collaboration Group
;
Isola, Tommaso
2017-01-01

Abstract

It is shown that, for nested fractals [T.Lindstrom, Mem. Amer. Math. Soc. 420, 1990], the main structural data, such as the Hausdorff dimension and measure, the geodesic distance (when it exists) induced by the immersion in Rn, and the self-similar energy can all be recovered by the description of the fractals in terms of the spectral triples considered in [D.Guido, T.Isola, in "Advances in Operator Algebras and Mathematical Physics", Theta Series in Advanced Mathematics, Bucharest 2005].
2017
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
Con Impact Factor ISI
Spectral triple, nested fractal, self-similar energy, Hausdorff dimension, noncommutative distance
http://doi.org/10.4171/JNCG/11-4-7
Guido, D., Isola, T. (2017). Spectral triples for nested fractals. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 11(4), 1413-1436 [10.4171/JNCG/11-4-7].
Guido, D; Isola, T
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/191496
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