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 
@article{10_4064_ap90_3_1,
     author = {Rafa/l Kapica},
     title = {On the convergence of sequences of iterates
 of random-valued vector functions},
     journal = {Annales Polonici Mathematici},
     pages = {193--201},
     publisher = {mathdoc},
     volume = {90},
     number = {3},
     year = {2007},
     doi = {10.4064/ap90-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap90-3-1/}
}
TY  - JOUR
AU  - Rafa/l Kapica
TI  - On the convergence of sequences of iterates
 of random-valued vector functions
JO  - Annales Polonici Mathematici
PY  - 2007
SP  - 193
EP  - 201
VL  - 90
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap90-3-1/
DO  - 10.4064/ap90-3-1
LA  - en
ID  - 10_4064_ap90_3_1
ER  - 
%0 Journal Article
%A Rafa/l Kapica
%T On the convergence of sequences of iterates
 of random-valued vector functions
%J Annales Polonici Mathematici
%D 2007
%P 193-201
%V 90
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap90-3-1/
%R 10.4064/ap90-3-1
%G en
%F 10_4064_ap90_3_1
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. http://geodesic.mathdoc.fr/articles/10.4064/ap90-3-1/

Cité par Sources :