Geodesic
Finite-dimensional discrete linear stochastic accelerated-time systems and their application to quadratic stochastic dynamical systems
Matematičeskie zametki, Tome 59 (1996) no. 5, pp. 709-718 
N. P. Zimakov. Finite-dimensional discrete linear stochastic accelerated-time systems and their application to quadratic stochastic dynamical systems. Matematičeskie zametki, Tome 59 (1996) no. 5, pp. 709-718. http://geodesic.mathdoc.fr/item/MZM_1996_59_5_a6/
@article{MZM_1996_59_5_a6,
     author = {N. P. Zimakov},
     title = {Finite-dimensional discrete linear stochastic accelerated-time systems and their application to quadratic stochastic dynamical systems},
     journal = {Matemati\v{c}eskie zametki},
     pages = {709--718},
     year = {1996},
     volume = {59},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_5_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The limiting behavior of the trajectories $\{x^{(n)}\}$ of linear discrete stochastic systems of the form $(K,P^{a^n+b})_{n\in\mathbb N}$, where $K$ is the standard simplex in ${\mathbb R}^N$, $P\colon{\mathbb R}^N\to{\mathbb R}^N$ is a linear operator, $PK\subset K$, $a\in\mathbb N$, $b\in\mathbb Z$, $a+b>0$, is described. An application to a class of quadratic stochastic dynamical systems is considered.

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