TY - INPR A1 - Kreitmeier, Wolfgang T1 - Optimal Quantization for Dyadic Homogeneous Cantor Distributions N2 - For a large class of dyadic homogeneous Cantor distributions in \mathbb{R}, which are not necessarily self-similar, we determine the optimal quantizers, give a characterization for the existence of the quantization dimension, and show the non-existence of the quantization coefficient. The class contains all self-similar dyadic Cantor distributions, with contraction factor less than or equal to \frac{1}{3}. For these distributions we calculate the quantization errors explicitly. KW - Maßtheorie KW - Fraktale Dimension KW - Iteriertes Funktionensystem KW - Cantor-Menge KW - Hausdorff-Dimension KW - Hausdorff-Maß KW - Quantization KW - homogeneous Cantor measures KW - Quantization dimension KW - Quantization coefficient Y1 - 2007 UR - https://opus4.kobv.de/opus4-uni-passau/frontdoor/index/index/docId/83 UR - https://nbn-resolving.org/urn:nbn:de:bvb:739-opus-3845 N1 - Die Endfassung des Artikels kann beim Verfasser angefordert werden. Kontaktinformation: opus@uni-passau.de ER -