Geodesic
Position dependent random maps in one and higher dimensions
Wael Bahsoun1 ; Paweł Góra2
1 Department of Mathematics and Statistics University of Victoria PO BOX 3045 STN CSC Victoria, B.C., V8W 3P4, Canada
2 Department of Mathematics and Statistics Concordia University 7141 Sherbrooke Street West Montreal, Quebec H4B 1R6, Canada
Studia Mathematica, Tome 166 (2005) no. 3, pp. 271-286 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 ${\mathbb R}^n$. 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 ${\mathbb R}^n$ are the main results.
DOI : 10.4064/sm166-3-5
Keywords: random map discrete time dynamical system which number transformations randomly selected applied each iteration process study random maps position dependent probabilities interval bounded domain mathbb sufficient conditions existence absolutely continuous invariant measure random map position dependent probabilities interval bounded domain mathbb main results

Wael Bahsoun 1 ; Paweł Góra 2

1 Department of Mathematics and Statistics University of Victoria PO BOX 3045 STN CSC Victoria, B.C., V8W 3P4, Canada
2 Department of Mathematics and Statistics Concordia University 7141 Sherbrooke Street West Montreal, Quebec H4B 1R6, Canada 
@article{10_4064_sm166_3_5,
     author = {Wael Bahsoun and Pawe{\l} G\'ora},
     title = {Position dependent random maps in one and higher dimensions},
     journal = {Studia Mathematica},
     pages = {271--286},
     year = {2005},
     volume = {166},
     number = {3},
     doi = {10.4064/sm166-3-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm166-3-5/}
}
TY  - JOUR
AU  - Wael Bahsoun
AU  - Paweł Góra
TI  - Position dependent random maps in one and higher dimensions
JO  - Studia Mathematica
PY  - 2005
SP  - 271
EP  - 286
VL  - 166
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm166-3-5/
DO  - 10.4064/sm166-3-5
LA  - en
ID  - 10_4064_sm166_3_5
ER  - 
%0 Journal Article
%A Wael Bahsoun
%A Paweł Góra
%T Position dependent random maps in one and higher dimensions
%J Studia Mathematica
%D 2005
%P 271-286
%V 166
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm166-3-5/
%R 10.4064/sm166-3-5
%G en
%F 10_4064_sm166_3_5
Wael Bahsoun; Paweł Góra. Position dependent random maps in one and higher dimensions. Studia Mathematica, Tome 166 (2005) no. 3, pp. 271-286. doi: 10.4064/sm166-3-5

Cité par Sources :