IFS ON BOUNDARIES OF HOMOGENEOUS TREES： WQB CONDITION AND MULTIFRACTAL ANALYSIS

• 作 者: 刘浩 文志雄
• 机 构: SchoolofMathematicsandStatistics,SchoolofMathematicsandStatistics
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2010年5期
• 关键词: 多重分形分析 边界 IFS 完全不连通空间 功能系统 形式主义 伯努利 自相似 IFS multifractal quasi-Bernoulli weak qu
• 基金项目: This work was supported by NSFC （10571140）. Acknowledgements The authors thank Professor Jacque Peyriere for suggesting the problem and his invaluable comments.

We study,from the point of view of the multifractal analysis,iterated function systems on totally disconnected spaces,namely,the boundaries of homogeneous trees.In particular,we study in this setting the 'weak quasi-Bernoulli' property introduced