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<export-example>
  <doc>
    <id>83</id>
    <completedYear>2005</completedYear>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>preprint</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2007-10-31</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Optimal Quantization for Dyadic Homogeneous Cantor Distributions</title>
    <abstract language="eng">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.</abstract>
    <identifier type="urn">urn:nbn:de:bvb:739-opus-3845</identifier>
    <identifier type="opus3-id">384</identifier>
    <note>Die Endfassung des Artikels kann beim Verfasser angefordert werden. Kontaktinformation: opus@uni-passau.de</note>
    <enrichment key="SourceTitle">This is a preprint of an article accepted for publication in Mathematische Nachrichten, Print ISSN:0025-584X, Online ISSN:1522-2616, Copyright © by Wiley http://www3.interscience.wiley.com/journal/60500208/home. The digital object identifier (DOI) of the definitive article is 10.1002/mana.200510680.</enrichment>
    <licence>Standardbedingung laut Einverständniserklärung</licence>
    <author>Wolfgang Kreitmeier</author>
    <subject>
      <language>deu</language>
      <type>swd</type>
      <value>Maßtheorie</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>swd</type>
      <value>Fraktale Dimension</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>swd</type>
      <value>Iteriertes Funktionensystem</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>swd</type>
      <value>Cantor-Menge</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>swd</type>
      <value>Hausdorff-Dimension</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>swd</type>
      <value>Hausdorff-Maß</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Quantization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>homogeneous Cantor measures</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Quantization dimension</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Quantization coefficient</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="msc" number="28A80">Fractals [See also 37Fxx]</collection>
    <collection role="open_access" number="">open_access</collection>
    <collection role="institutes" number="">Mitarbeiter Lehrstuhl/Einrichtung der Fakultät für Informatik und Mathematik</collection>
    <thesisPublisher>Universität Passau</thesisPublisher>
    <file>https://opus4.kobv.de/opus4-uni-passau/files/83/dyadic_cantor.pdf</file>
  </doc>
</export-example>
