arXiv Open Access 1993

On the equality of Hausdorff and box counting dimensions

Ronnie Mainieri

Lihat Sumber

Abstrak

By viewing the covers of a fractal as a statistical mechanical system, the exact capacity of a multifractal is computed. The procedure can be extended to any multifractal described by a scaling function to show why the capacity and Hausdorff dimension are expected to be equal.

Topik & Kata Kunci

nlin.CD

Penulis (1)

Ronnie Mainieri

Format Sitasi

APA MLA BibTeX

Mainieri, R. (1993). On the equality of Hausdorff and box counting dimensions. https://arxiv.org/abs/chao-dyn/9303007

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 1993
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓