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Dimensions of average conformal repeller
Ban Jungchao 1,Cao Yongluo 2 * #
1.National Hualien University of Education, Taiwan
2.Suzhou(Soochow) University
*Correspondence author
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Funding: none
Opened online:18 February 2008
Accepted by: none
Citation: Ban Jungchao,Cao Yongluo.Dimensions of average conformal repeller[OL]. [18 February 2008] http://en.paper.edu.cn/en_releasepaper/content/18710
 
 
In this paper, average conformal repeller is defined, which is generalization of conformal repeller. Using thermodynamic formalism for sub-additive potential defined in \\\\\\\\cite{cfh}, Hausdorff dimension and box dimension of average conformal repellers are obtained. The map $f$ is only needed $C^1$, without additional condition.
Keywords:Hausdorff dimension,Non-conformal repellers, Topological pressure
 
 
 

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