Transfer operators for contractive Markov systems and stochastic stability of the invariant measure.
Saved in:
| Title: | Transfer operators for contractive Markov systems and stochastic stability of the invariant measure. |
|---|---|
| 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 |
|
Full text is not displayed to guests.
Login for full access.
|
|
| 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] |
|---|---|
| ISSN: | 14689367 |
| DOI: | 10.1080/14689367.2012.739598 |
