Details

Autor(en) / Beteiligte

• Chazal, Frédéric
• Maume-Deschamps, Véronique

Titel

Statistical properties of general Markov dynamical sources: applications to information theory

Ist Teil von

• Discrete mathematics and theoretical computer science, 2004-01, Vol.6 no. 2 (2), p.283-314

Ort / Verlag

Nancy: DMTCS

Erscheinungsjahr

2004

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• In \textitDynamical sources in information theory: fundamental intervals and word prefixes, B. Vallée studies statistical properties of words generated by dynamical sources. This is done using generalized Ruelle operators. The aim of this article is to generalize sources for which the results hold. First, we avoid the use of Grotendieck theory and Fredholm determinants, this allows dynamical sources that cannot be extended to a complex disk or that are not analytic. Second, we consider Markov sources: the language generated by the source over an alphabet \textbfM is not necessarily \textbfM^*.