Random iterated function systems with smooth invariant densities

Details Random iterated function systems with smooth invariant densities Random iterated function systems with smooth invariant densities

2009-03-17

arxiv.org/abs/0903.2905v1

Mathematics

Dynamical Systems

13 pages

Scientific paper

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.

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