Position dependent random maps in one and higher dimensions

Wael Bahsoun, and Paweł Góra. "Position dependent random maps in one and higher dimensions." Studia Mathematica 166.3 (2005): 271-286. <http://eudml.org/doc/285334>.

@article{WaelBahsoun2005,
abstract = {A random map is a discrete-time dynamical system in which one of a number of transformations is randomly selected and applied on each iteration of the process. We study random maps with position dependent probabilities on the interval and on a bounded domain of ℝⁿ. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of ℝⁿ are the main results.},
author = {Wael Bahsoun, Paweł Góra},
journal = {Studia Mathematica},
keywords = {random map; absolutely continuous invariant measure; Perron-Frobenius operator},
language = {eng},
number = {3},
pages = {271-286},
title = {Position dependent random maps in one and higher dimensions},
url = {http://eudml.org/doc/285334},
volume = {166},
year = {2005},
}

TY - JOUR
AU - Wael Bahsoun
AU - Paweł Góra
TI - Position dependent random maps in one and higher dimensions
JO - Studia Mathematica
PY - 2005
VL - 166
IS - 3
SP - 271
EP - 286
AB - A random map is a discrete-time dynamical system in which one of a number of transformations is randomly selected and applied on each iteration of the process. We study random maps with position dependent probabilities on the interval and on a bounded domain of ℝⁿ. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of ℝⁿ are the main results.
LA - eng
KW - random map; absolutely continuous invariant measure; Perron-Frobenius operator
UR - http://eudml.org/doc/285334
ER -