Given a probability space (Ω,,P) and a subset X of a normed space we consider functions f:X × Ω → X and investigate the speed of convergence of the sequence (fⁿ(x,·)) of the iterates defined by f¹(x,ω ) = f(x,ω₁), .
@article{bwmeta1.element.bwnjournal-article-doi-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},
volume = {92},
year = {2007},
pages = {193-201},
zbl = {1112.39013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap90-3-1}
}
Rafał Kapica. On the convergence of sequences of iterates of random-valued vector functions. Annales Polonici Mathematici, Tome 92 (2007) pp. 193-201. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap90-3-1/