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# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## Position dependent random maps in one and higher dimensions

### Tom 166 / 2005

Studia Mathematica 166 (2005), 271-286 MSC: Primary 37A05, 37E05. DOI: 10.4064/sm166-3-5

#### Streszczenie

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.

#### Autorzy

• Wael BahsounDepartment of Mathematics and Statistics
University of Victoria
PO BOX 3045 STN CSC
e-mail
• Paweł GóraDepartment of Mathematics and Statistics
Concordia University
7141 Sherbrooke Street West