On the convergence of sequences of iterates of random-valued vector functions

Rafał Kapica. "On the convergence of sequences of iterates of random-valued vector functions." Annales Polonici Mathematici 90.3 (2007): 193-201. <http://eudml.org/doc/280912>.

@article{RafałKapica2007,
abstract = {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 $fⁿ:X × Ω^\{ℕ\} → X$ defined by f¹(x,ω ) = f(x,ω₁), $f^\{n+1\}(x,ω) = f(fⁿ(x,ω),ω_\{n+1\})$.},
author = {Rafał Kapica},
journal = {Annales Polonici Mathematici},
keywords = {speed of convergence; probability space; normed space},
language = {eng},
number = {3},
pages = {193-201},
title = {On the convergence of sequences of iterates of random-valued vector functions},
url = {http://eudml.org/doc/280912},
volume = {90},
year = {2007},
}

TY - JOUR
AU - Rafał Kapica
TI - On the convergence of sequences of iterates of random-valued vector functions
JO - Annales Polonici Mathematici
PY - 2007
VL - 90
IS - 3
SP - 193
EP - 201
AB - 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 $fⁿ:X × Ω^{ℕ} → X$ defined by f¹(x,ω ) = f(x,ω₁), $f^{n+1}(x,ω) = f(fⁿ(x,ω),ω_{n+1})$.
LA - eng
KW - speed of convergence; probability space; normed space
UR - http://eudml.org/doc/280912
ER -