Statistical properties of Markov dynamical sources: applications to information theory.
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| Title: | Statistical properties of Markov dynamical sources: applications to information theory. |
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| 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] |
| Copyright of Discrete Mathematics & Theoretical Computer Science (DMTCS) is the property of Discrete Mathematics & Theoretical Computer Science DMTCS and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 20320159 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Statistical properties of Markov dynamical sources: applications to information theory. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Chazal%2C+F%2E%22">Chazal, F.</searchLink><relatesTo>1</relatesTo><i> fchazal@u-bourgogne.fr</i><br /><searchLink fieldCode="AR" term="%22Maume-Deschamps%2C+V%2E%22">Maume-Deschamps, V.</searchLink><relatesTo>1</relatesTo><i> vmaume@u-bourgogne.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Discrete+Mathematics+%26+Theoretical+Computer+Science+%28DMTCS%29%22">Discrete Mathematics & Theoretical Computer Science (DMTCS)</searchLink>. Dec2004, Vol. 7 Issue 2, p283-314. 32p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Dynamics%22">Dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Ruelle+operators%22">Ruelle operators</searchLink><br /><searchLink fieldCode="DE" term="%22Transfer+operators%22">Transfer operators</searchLink><br /><searchLink fieldCode="DE" term="%22Grothendieck+categories%22">Grothendieck categories</searchLink><br /><searchLink fieldCode="DE" term="%22Fredholm+equations%22">Fredholm equations</searchLink><br /><searchLink fieldCode="DE" term="%22Markov+processes%22">Markov processes</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Discrete Mathematics & Theoretical Computer Science (DMTCS) is the property of Discrete Mathematics & Theoretical Computer Science DMTCS and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=20320159 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 32 StartPage: 283 Subjects: – SubjectFull: Dynamics Type: general – SubjectFull: Ruelle operators Type: general – SubjectFull: Transfer operators Type: general – SubjectFull: Grothendieck categories Type: general – SubjectFull: Fredholm equations Type: general – SubjectFull: Markov processes Type: general Titles: – TitleFull: Statistical properties of Markov dynamical sources: applications to information theory. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Chazal, F. – PersonEntity: Name: NameFull: Maume-Deschamps, V. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2004 Type: published Y: 2004 Identifiers: – Type: issn-print Value: 13658050 Numbering: – Type: volume Value: 7 – Type: issue Value: 2 Titles: – TitleFull: Discrete Mathematics & Theoretical Computer Science (DMTCS) Type: main |
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