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

doi:10.1016/S0252-9602(10)60144-0

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1514-1522.doi: 10.1016/S0252-9602(10)60144-0

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

刘浩, 文志雄

School of Mathematics and Statistics, Wuhan University, |Wuhan 430072, China|School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan |430074, China

收稿日期:2008-07-21 修回日期:2009-03-15 出版日期:2010-09-20 发布日期:2010-09-20
基金资助:
This work was supported by NSFC (10571140).

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

LIU Hao, WEN Zhi-Xiong

School of Mathematics and Statistics, Wuhan University, |Wuhan 430072, China|School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan |430074, China

Received:2008-07-21 Revised:2009-03-15 Online:2010-09-20 Published:2010-09-20
Supported by:
This work was supported by NSFC (10571140).

摘要/Abstract

摘要：

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 by Testud [3, 4]. After projection on R or R², we get new examples of self-similar measures which, being WQB, obey the multifractal formalism for positive q's.

关键词: IFS, multifractal, quasi-Bernoulli, weak quasi-Bernoulli

Abstract:

Key words: IFS, multifractal, quasi-Bernoulli, weak quasi-Bernoulli

中图分类号:

28A78

刘浩, 文志雄. IFS ON BOUNDARIES OF HOMOGENEOUS TREES: WQB CONDITION AND MULTIFRACTAC ANALYSIS[J]. 数学物理学报(英文版), 2010, 30(5): 1514-1522.

LIU Hao, WEN Zhi-Xiong. IFS ON BOUNDARIES OF HOMOGENEOUS TREES: WQB CONDITION AND MULTIFRACTAC ANALYSIS[J]. Acta mathematica scientia,Series B, 2010, 30(5): 1514-1522.

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

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

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