6533b872fe1ef96bd12d2eb0

RESEARCH PRODUCT

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

Véronique Maume-deschampsFrédéric Chazal

subject

dynamical sourcesGeneral Computer ScienceMarkov chainlcsh:Mathematicstransfer operator[ INFO.INFO-DM ] Computer Science [cs]/Discrete Mathematics [cs.DM][INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]lcsh:QA1-939Information theoryTheoretical Computer SciencePrefixAlgebra[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]Markov sourcesTransfer operatorDiscrete Mathematics and CombinatoricsAlphabetWord (computer architecture)Mathematicsinformation theory

description

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^*.

yearjournalcountryeditionlanguage
2004-12-01
https://hal.inria.fr/hal-00959009/file/dm060208.pdf