Discrete Mathematics & Theoretical Computer Science, Vol 6, No 2 (2004)

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DMTCS vol 6 no 2 (2004), pp. 283-314

Discrete Mathematics & Theoretical Computer Science


Volume 6 n° 2 (2004), pp. 283-314

author:Frédéric Chazal and Véronique Maume-Deschamps
title:Statistical properties of general Markov dynamical sources: applications to information theory
keywords:dynamical sources, information theory, transfer operator, Markov sources
abstract:In Dynamical 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 M is not necessarily M*.

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reference: Frédéric Chazal and Véronique Maume-Deschamps (2004), Statistical properties of general Markov dynamical sources: applications to information theory , Discrete Mathematics and Theoretical Computer Science 6, pp. 283-314
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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