Abstract and Applied Analysis
Volume 2005 (2005), Issue 3, Pages 239-254
doi:10.1155/AAA.2005.239

Some typical properties of dimensions of sets and measures

Abstract

This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff dimension, box dimension, correlation dimension, concentration dimension, and local dimension of measures.