Invariant measures for position dependent random maps with continuous random parameters

Tomoki Inoue. "Invariant measures for position dependent random maps with continuous random parameters." Studia Mathematica 208.1 (2012): 11-29. <http://eudml.org/doc/285626>.

@article{TomokiInoue2012,
abstract = {We consider a family of transformations with a random parameter and study a random dynamical system in which one transformation is randomly selected from the family and applied on each iteration. The parameter space may be of cardinality continuum. Further, the selection of the transformation need not be independent of the position in the state space. We show the existence of absolutely continuous invariant measures for random maps on an interval under some conditions.},
author = {Tomoki Inoue},
journal = {Studia Mathematica},
keywords = {random map; absolutely continuous invariant measure; Perron-Frobenius operator},
language = {eng},
number = {1},
pages = {11-29},
title = {Invariant measures for position dependent random maps with continuous random parameters},
url = {http://eudml.org/doc/285626},
volume = {208},
year = {2012},
}

TY - JOUR
AU - Tomoki Inoue
TI - Invariant measures for position dependent random maps with continuous random parameters
JO - Studia Mathematica
PY - 2012
VL - 208
IS - 1
SP - 11
EP - 29
AB - We consider a family of transformations with a random parameter and study a random dynamical system in which one transformation is randomly selected from the family and applied on each iteration. The parameter space may be of cardinality continuum. Further, the selection of the transformation need not be independent of the position in the state space. We show the existence of absolutely continuous invariant measures for random maps on an interval under some conditions.
LA - eng
KW - random map; absolutely continuous invariant measure; Perron-Frobenius operator
UR - http://eudml.org/doc/285626
ER -