Geodesic
On the convergence of sequences of iterates of random-valued vector functions
Rafa/l Kapica1
1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
Annales Polonici Mathematici, Tome 90 (2007) no. 3, pp. 193-201

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Given a probability space $({\mit \Omega },{{\mathcal A}},P)$ and a subset $X$ of a normed space we consider functions $f:X\times {\mit \Omega }\to X$ and investigate the speed of convergence of the sequence $(f^n(x,\cdot ))$ of the iterates $f^n:X\times {\mit \Omega }^{{\mathbb N}}\to X$ defined by $f^1(x,\omega )=f(x,\omega _1)$, $f^{n+1}(x,\omega )=f(f^n(x,\omega ),\omega _{n+1})$.
DOI : 10.4064/ap90-3-1
Keywords: given probability space mit omega mathcal subset normed space consider functions times mit omega investigate speed convergence sequence cdot iterates times mit omega mathbb defined omega omega omega x omega omega

Rafa/l Kapica 1

1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland 
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Rafa/l Kapica. On the convergence of sequences of iterates
 of random-valued vector functions. Annales Polonici Mathematici, Tome 90 (2007) no. 3, pp. 193-201. doi: 10.4064/ap90-3-1

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