Search results for "transfer operator"

showing 2 items of 2 documents

Projective metrics and mixing properties on towers

2001

Transfer operatorApplied MathematicsGeneral MathematicsGeometryddc:510Projective testTowerMixing (physics)MathematicsTransactions of the American Mathematical Society
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Statistical properties of general Markov dynamical sources: applications to information theory

2004

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^*.

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
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