Abstract
The limiting behavior of the trajectories {x (n)} of linear discrete stochastic systems of the form (K, P an+b) n∈N , whereK is the standard simplex in ℝN,P:ℝN → ℝN is a linear operator,PK ⊂K,a ∈ ft,b ∈ ℤ,a+b>0, is described. An application to a class of quadratic stochastic dynamical systems is considered.
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Translated fromMatematicheskie Zametki, Vol. 59, No. 5, pp. 709–718, May, 1996.
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Zimakov, N.P. Finite-dimensional discrete linear stochastic accelerated-time systems and their application to quadratic stochastic dynamical systems. Math Notes 59, 511–517 (1996). https://doi.org/10.1007/BF02308818
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DOI: https://doi.org/10.1007/BF02308818