Invariant measures for position dependent random maps with continuous random parameters

• Autorzy: Tomoki Inoue
• Języki publikacji: EN

Abstrakty

EN

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.

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: 2012
• Tom: 208
• Numer: 1
• Strony: 11-29

Daty

wydano

2012

Twórcy

autor

Tomoki Inoue

• Division of Applied Mathematics, Department of Electrical and Electronic Engineering, Ehime University, Matsuyama 790-8577, Japan

Identyfikatory

DOI

10.4064/sm208-1-2