TY - INPR A1 - Kreitmeier, Wolfgang T1 - Asymptotic order of quantization for Cantor distributions in terms of Euler characteristic, Hausdorff and Packing measure N2 - For homogeneous one-dimensional Cantor sets, which are not necessarily self-similar, we show under some restrictions that the Euler exponent equals the quantization dimension of the uniform distribution on these Cantor sets. Moreover for a special sub-class of these sets we present a linkage between the Hausdorff and the Packing measure of these sets and the high-rate asymptotics of the quantization error. KW - Maßtheorie KW - Fraktale Dimension KW - Iteriertes Funktionensystem KW - Cantor-Menge KW - Hausdorff-Dimension KW - Hausdorff-Maß KW - Homogeneous Cantor set KW - Euler characteristic KW - Euler exponent KW - quantization dimension KW - quantization coefficient KW - Hausdorff dimension Y1 - 2008 UR - https://opus4.kobv.de/opus4-uni-passau/frontdoor/index/index/docId/86 UR - https://nbn-resolving.org/urn:nbn:de:bvb:739-opus-7374 N1 - Die Endfassung des Artikels kann beim Verfasser angefordert werden. Kontaktinformation: opus@uni-passau.de ER -