Theory of dimension for large discrete sets and applications

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We define two notions of discrete dimension based on the Minkowski and Hausdorff dimensions in the continuous setting. After proving some basic results illustrating these definitions, we apply this machinery to the study of connections between the Erdos and Falconer distance problems in geometric combinatorics and geometric measure theory, respectively.
27 pages

Keywords

Combinatorics, Classical Analysis and ODEs, 52C10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/133223

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.1322
 http://arxiv.org/abs/0707.1322

Collections

arXiv