# 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 is not
necessarily M.
M^{*}If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files. |

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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Automatically produced on Sun Jun 20 22:34:51 CEST 2004 by gustedt