Convergence of sequences of iterates of random-valued vector functions
Rafał Kapica
Colloquium Mathematicae, Tome 96 (2003), p. 1-6 / Harvested from The Polish Digital Mathematics Library
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Given a probability space (Ω,, P) and a closed subset X of a Banach lattice, we consider functions f: X × Ω → X and their iterates fⁿ:X×Ωℕ→X defined by f¹(x,ω) = f(x,ω₁), fn+1(x,ω)=f(fⁿ(x,ω),ωn+1), and obtain theorems on the convergence (a.s. and in L¹) of the sequence (fⁿ(x,·)).

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284397 
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Rafał Kapica. Convergence of sequences of iterates of random-valued vector functions. Colloquium Mathematicae, Tome 96 (2003) pp. 1-6. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm97-1-1/