Transfer operators for contractive Markov systems and stochastic stability of the invariant measure.
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| Title: | Transfer operators for contractive Markov systems and stochastic stability of the invariant measure. |
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| Authors: | Walkden, Charles1 (AUTHOR) charles.walkden@manchester.ac.uk |
| Source: | Dynamical Systems: An International Journal. Mar2013, Vol. 28 Issue 1, p34-47. 14p. |
| Subjects: | Transfer operators, Markov processes, Stochastic systems, Stability theory, Invariant measures, Generalization, Iterative methods (Mathematics), Function spaces |
| Abstract: | We consider contractive Markov systems, a generalization due to Werner of iterated function systems that contract on average. We study a transfer operator for such systems and determine an appropriate function space on which this operator acts quasi-compactly and has good spectral perturbation properties. We discuss how these results apply to the stochastic stability of the invariant measure. [ABSTRACT FROM AUTHOR] |
| Copyright of Dynamical Systems: An International Journal is the property of Taylor & Francis Ltd 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 86154106 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Transfer operators for contractive Markov systems and stochastic stability of the invariant measure. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Walkden%2C+Charles%22">Walkden, Charles</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> charles.walkden@manchester.ac.uk</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Dynamical+Systems%3A+An+International+Journal%22">Dynamical Systems: An International Journal</searchLink>. Mar2013, Vol. 28 Issue 1, p34-47. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Transfer+operators%22">Transfer operators</searchLink><br /><searchLink fieldCode="DE" term="%22Markov+processes%22">Markov processes</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+systems%22">Stochastic systems</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Invariant+measures%22">Invariant measures</searchLink><br /><searchLink fieldCode="DE" term="%22Generalization%22">Generalization</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Function+spaces%22">Function spaces</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We consider contractive Markov systems, a generalization due to Werner of iterated function systems that contract on average. We study a transfer operator for such systems and determine an appropriate function space on which this operator acts quasi-compactly and has good spectral perturbation properties. We discuss how these results apply to the stochastic stability of the invariant measure. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Dynamical Systems: An International Journal is the property of Taylor & Francis Ltd 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=86154106 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/14689367.2012.739598 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 34 Subjects: – SubjectFull: Transfer operators Type: general – SubjectFull: Markov processes Type: general – SubjectFull: Stochastic systems Type: general – SubjectFull: Stability theory Type: general – SubjectFull: Invariant measures Type: general – SubjectFull: Generalization Type: general – SubjectFull: Iterative methods (Mathematics) Type: general – SubjectFull: Function spaces Type: general Titles: – TitleFull: Transfer operators for contractive Markov systems and stochastic stability of the invariant measure. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Walkden, Charles IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2013 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 14689367 Numbering: – Type: volume Value: 28 – Type: issue Value: 1 Titles: – TitleFull: Dynamical Systems: An International Journal Type: main |
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