Paper Description: MIP-9609

BibTeX entry:

@incollection{MIP-9609,
author="S. Graf, H. Luschgy",
title="The quantization dimension of selfsimilar sets",
institution="Fakult{\"a}t f{\"u}r Mathematik und Informatik, Universit{\"a}t Passau",
year=1996,
number={MIP-9609}
}

Abstract:

Let µ be the normalized alpha-dimensional Hausdorff measure on a self-similar set A satisfying the open set condition, where alpha denotes the Hausdorff dimension of A. Upper and lower bounds for the quantization errors of µ are given and the quantization dimension of µ is calculated.

Paper itself:

Cross links:

Ulrike Peiker, Martin Griebl