Ruelle Operator for Infinite Conformal IFS

Details Ruelle Operator for Infinite Conformal IFS Ruelle Operator for Infinite Conformal IFS

2009-04-07

arxiv.org/abs/0904.1164v1

Mathematics

Dynamical Systems

20 pages

Scientific paper

Let $(X, \{w_j \}_{j=1}^m, \{p_j \}_{j=1}^m)$ ($2 \leq m < \infty$) be a contractive iterated function system (IFS), where $X$ is a compact subset of ${\Bbb{R}}^d$. It is well known that there exists a unique nonempty compact set $K$ such that $K=\bigcup_{j=1}^m w_j(K)$. Moreover, the Ruelle operator on $C(K)$ determined by the IFS $(X, \{w_j \}_{j=1}^m, \{p_j \}_{j=1}^m)$ ($2 \leq m < \infty$) has been introduced in \cite{FL}. In the present paper, the Ruelle operators determined by the infinite conformal IFSs are discussed. Some separation properties for the infinite conformal IFSs are investigated by using the Ruelle operator.

Affiliated with

Also associated with

No associations

Rating

Ruelle Operator for Infinite Conformal IFS does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ruelle Operator for Infinite Conformal IFS, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ruelle Operator for Infinite Conformal IFS will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-314387