arXiv Open Access 2004

Dimensions and spectral triples for fractals in R^N

Daniele Guido Tommaso Isola

Lihat Sumber

Abstrak

Two spectral triples are introduced for a class of fractals in R^n. The definitions of noncommutative Hausdorff dimension and noncommutative tangential dimensions, as well as the corresponding Hausdorff and Hausdorff-Besicovitch functionals considered in math.OA/0202108, are studied for the mentioned fractals endowed with these spectral triples, showing in many cases their correspondence with classical objects. In particular, for any limit fractal, the Hausdorff-Besicovitch functionals do not depend on the generalized limit procedure.

Topik & Kata Kunci

math.OA

Penulis (2)

Daniele Guido

Tommaso Isola

Format Sitasi

APA MLA BibTeX

Guido, D., Isola, T. (2004). Dimensions and spectral triples for fractals in R^N. https://arxiv.org/abs/math/0404295

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2004
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓