Ruelle Operator for Infinite Conformal IFS
| dc.creator | Chen, Xiao-Peng | |
| dc.creator | Wu, Li-Yan | |
| dc.creator | Ye, Yuan-Ling | |
| dc.date | 2009-04-07 | |
| dc.date.accessioned | 2026-07-07T13:01:19Z | |
| dc.date.available | 2026-07-07T13:01:19Z | |
| dc.description | 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. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0904.1164 | |
| dc.identifier | http://arxiv.org/abs/0904.1164 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226113 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Functional Analysis | |
| dc.subject | 28A78, 28A80, 47B38 | |
| dc.title | Ruelle Operator for Infinite Conformal IFS | |
| dc.type | text |