Fractality, Self-Similarity and Complex Dimensions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We present an overview of a theory of complex dimensions of self-similar fractal strings, and compare this theory to the theory of varieties over a finite field from the geometric and the dynamical point of view. Then we combine the several strands to discuss a possible approach to establishing a cohomological interpretation of the complex dimensions.
To appear in Proceedings of Symposia of Pure Mathematics, title: "Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot"

Keywords

Number Theory, Primary 11M41, 28A80; Secondary 11G20, 11J70

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/69845

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401156
 http://arxiv.org/abs/math/0401156

Collections

arXiv