dc.contributor.author | Ble, G | |
dc.contributor.author | Castellanos, V | |
dc.contributor.author | Falconi, MJ | |
dc.date.accessioned | 2011-01-22T10:26:45Z | |
dc.date.available | 2011-01-22T10:26:45Z | |
dc.date.issued | 2003 | |
dc.identifier.issn | 0100-3569 | |
dc.identifier.uri | http://hdl.handle.net/11154/2470 | |
dc.description.abstract | In this paper we consider a system whose state x changes to sigma(x) if a perturbation occurs at the time t, for t > 0, t is not an element of N. Moreover, the state x changes to the new state eta(x) at time t, for t is an element of N. It is assumed that the number of perturbations in an interval (0, t) is a Poisson process. Here eta and sigma are measurable maps from a measure space (E, A, mu) into itself. We give conditions for the existence of a stationary distribution of the system when the maps eta and sigma commute, and we prove that any stationary distribution is an invariant measure of these maps. | en_US |
dc.language.iso | en | en_US |
dc.title | Asymptotic properties of two interacting maps | en_US |
dc.type | Article | en_US |
dc.identifier.idprometeo | 1970 | |
dc.source.novolpages | 34(2):333-345 | |
dc.subject.wos | Mathematics | |
dc.description.index | WoS: SCI, SSCI o AHCI | |
dc.subject.keywords | alternating maps | |
dc.subject.keywords | stationary distribution | |
dc.subject.keywords | discrete dynamical system | |
dc.relation.journal | Bulletin Brazilian Mathematical Society |
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