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  1. Bulletin of the Brazilian Mathematical Society
  2. Bulletin of the Brazilian Mathematical Society : Volume 34
  3. Bulletin of the Brazilian Mathematical Society : Volume 34, Issue 2, July 2003
  4. Asymptotic properties of two interacting maps
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Bulletin of the Brazilian Mathematical Society : Volume 48
Bulletin of the Brazilian Mathematical Society : Volume 47
Bulletin of the Brazilian Mathematical Society : Volume 46
Bulletin of the Brazilian Mathematical Society : Volume 45
Bulletin of the Brazilian Mathematical Society : Volume 44
Bulletin of the Brazilian Mathematical Society : Volume 43
Bulletin of the Brazilian Mathematical Society : Volume 42
Bulletin of the Brazilian Mathematical Society : Volume 41
Bulletin of the Brazilian Mathematical Society : Volume 40
Bulletin of the Brazilian Mathematical Society : Volume 39
Bulletin of the Brazilian Mathematical Society : Volume 38
Bulletin of the Brazilian Mathematical Society : Volume 37
Bulletin of the Brazilian Mathematical Society : Volume 36
Bulletin of the Brazilian Mathematical Society : Volume 35
Bulletin of the Brazilian Mathematical Society : Volume 34
Bulletin of the Brazilian Mathematical Society : Volume 34, Issue 3, November 2003
Bulletin of the Brazilian Mathematical Society : Volume 34, Issue 2, July 2003
A Littlewood-Paley type inequality
Groups whose non-subnormal subgroups have a transitive normality relation
Error estimates for moving least square approximations
Complexification of foliations and complex secondary classes
On the Pesin set of expansive geodesic flows in manifolds with no conjugate points
The Chebotarev theorem for ergodic toral automorphisms with respect to (G, ρ)–extensions
The first Cohomology of Affine $$ \mathbb{Z}^{p} $$ -actions on Tori and applications to rigidity*
Harmonic mean curvature lines on surfaces immersed in $$ \mathbb{R}^{3} $$
Asymptotic properties of two interacting maps
Bulletin of the Brazilian Mathematical Society : Volume 34, Issue 1, April 2003
Bulletin of the Brazilian Mathematical Society : Volume 33
Bulletin of the Brazilian Mathematical Society : Volume 32
Bulletin of the Brazilian Mathematical Society : Volume 31
Bulletin of the Brazilian Mathematical Society : Volume 30
Bulletin of the Brazilian Mathematical Society : Volume 29
Bulletin of the Brazilian Mathematical Society : Volume 28

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Asymptotic properties of two interacting maps

Content Provider Springer Nature Link
Author Blé, Gamaliel Castellas, Víctor Falconi, Manuel J.
Copyright Year 2003
Abstract In this paper we consider a system whose state x changes to σ(x) if a perturbation occurs at the time t, for $$ t > 0,\;t \notin \mathbb{N} $$ . Moreover, the state x changes to the new state η(x) at time t, for $$ t \in \mathbb{N} $$ . It is assumed that the number of perturbations in an interval (0, t) is a Poisson process. Here η and σ are measurable maps from a measure space $$ {\left( {E,{\cal A},\mu } \right)} $$ into itself. We give conditions for the existence of a stationary distribution of the system when the maps η and σ commute, and we prove that any stationary distribution is an invariant measure of these maps.
Starting Page 333
Ending Page 345
Page Count 13
File Format PDF
ISSN 16787544
Journal Bulletin of the Brazilian Mathematical Society
Volume Number 34
Issue Number 2
e-ISSN 16787714
Language English
Publisher Springer-Verlag
Publisher Date 2003-01-01
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Alternating maps stationary distribution discrete dynamical system
Content Type Text
Resource Type Article
Subject Mathematics
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