Random iterated function systems with smooth invariant densities

Abstract

We consider some random iterated function systems on the interval and show that the invariant measure has density in ${\mathcal{C}}^{\infty }$. To prove this we use some techniques for contractions in cone metrics, applied to the transfer operator.

13 pages

References in corpus (1)

• The absolute continuity of the invariant measure of random iterated function systems with overlaps