On Koopman and Perron-Frobenius operators of random dynamical systems

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...

Full description

Bibliographic Details
Main Author: Hmissi Mohamed
Format: Article
Language:English
Published: EDP Sciences 2014-11-01
Series:ESAIM: Proceedings and Surveys
Subjects:
dynamical system
random dynamical system
factorization
random equation
koopman operator
perron-frobenius operator
invariant measure
invariant density
Online Access:http://dx.doi.org/10.1051/proc/201446012
id doaj-e9f76cee358c4a018c3d4f46a1f99074
record_format Article
spelling doaj-e9f76cee358c4a018c3d4f46a1f990742021-07-15T14:10:15ZengEDP 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
collection DOAJ
language English
format Article
sources DOAJ
author Hmissi Mohamed
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
author_facet Hmissi Mohamed
author_sort Hmissi Mohamed
title On Koopman and Perron-Frobenius operators of random dynamical systems
title_short 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_sort on koopman and perron-frobenius operators of random dynamical systems
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2014-11-01
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.
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
_version_ 1721300302220492800

Similar Items