On Koopman and Perron-Frobenius operators of random dynamical systems
In this paper, we investigate the Koopman and the Perron-Frobenius operators of random dynamical systems in general setting. Moreover, we give some necessary and sufficient conditions for the existence of invariant densities for the associated Perron-Frobenius operators...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2014-11-01
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| Series: | ESAIM: Proceedings and Surveys |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1051/proc/201446012 |
| _version_ | 1797970069472411648 |
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| author | Hmissi Mohamed |
| author_facet | Hmissi Mohamed |
| author_sort | Hmissi Mohamed |
| collection | DOAJ |
| description | In this paper, we investigate the Koopman and the Perron-Frobenius operators of random
dynamical systems in general setting. Moreover, we give some necessary and sufficient
conditions for the existence of invariant densities for the associated Perron-Frobenius
operators. |
| first_indexed | 2024-04-11T03:11:07Z |
| format | Article |
| id | doaj.art-e9f76cee358c4a018c3d4f46a1f99074 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T03:11:07Z |
| publishDate | 2014-11-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-e9f76cee358c4a018c3d4f46a1f990742023-01-02T11:41:28ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592014-11-014613214510.1051/proc/201446012proc144612On Koopman and Perron-Frobenius operators of random dynamical systemsHmissi Mohamed0Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis Elmanar, TN-2092 ElmanarIn this paper, we investigate the Koopman and the Perron-Frobenius operators of random dynamical systems in general setting. Moreover, we give some necessary and sufficient conditions for the existence of invariant densities for the associated Perron-Frobenius operators.http://dx.doi.org/10.1051/proc/201446012dynamical systemrandom dynamical systemfactorizationrandom equationkoopman operatorperron-frobenius operatorinvariant measureinvariant density |
| spellingShingle | Hmissi Mohamed On Koopman and Perron-Frobenius operators of random dynamical systems ESAIM: Proceedings and Surveys dynamical system random dynamical system factorization random equation koopman operator perron-frobenius operator invariant measure invariant density |
| title | On Koopman and Perron-Frobenius operators of random dynamical
systems |
| title_full | On Koopman and Perron-Frobenius operators of random dynamical
systems |
| title_fullStr | On Koopman and Perron-Frobenius operators of random dynamical
systems |
| title_full_unstemmed | On Koopman and Perron-Frobenius operators of random dynamical
systems |
| title_short | On Koopman and Perron-Frobenius operators of random dynamical
systems |
| title_sort | on koopman and perron frobenius operators of random dynamical systems |
| topic | dynamical system random dynamical system factorization random equation koopman operator perron-frobenius operator invariant measure invariant density |
| url | http://dx.doi.org/10.1051/proc/201446012 |
| work_keys_str_mv | AT hmissimohamed onkoopmanandperronfrobeniusoperatorsofrandomdynamicalsystems |