Bibliographic Details
| Title: |
Statistical properties of Markov dynamical sources: applications to information theory. |
| Authors: |
Chazal, F.1 fchazal@u-bourgogne.fr, Maume-Deschamps, V.1 vmaume@u-bourgogne.fr |
| Source: |
Discrete Mathematics & Theoretical Computer Science (DMTCS). Dec2004, Vol. 7 Issue 2, p283-314. 32p. |
| Subjects: |
Dynamics, Ruelle operators, Transfer operators, Grothendieck categories, Fredholm equations, Markov processes |
| Abstract: |
In (V1), the author studies statistical properties of words generated by dynamical sources. This is done using generalized Ruelle operators. The aim of this article is to generalize the notion of sources for which the results hold. First, we avoid the use of Grothendieck 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*. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
