Position dependent random maps in one and higher dimensions

• Autorzy: Wael Bahsoun , Paweł Góra
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A05: Measure-preserving transformations
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 166
• Numer: 3
• Strony: 271-286

Daty

wydano

2005

Twórcy

autor

Wael Bahsoun

• Department of Mathematics and Statistics, University of Victoria, PO BOX 3045 STN CSC, Victoria, B.C., V8W 3P4, Canada

autor

Paweł Góra

• Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal, Quebec H4B 1R6, Canada

Identyfikatory

DOI

10.4064/sm166-3-5