IFS ON BOUNDARIES OF HOMOGENEOUS TREES:WQB CONDITION AND MULTIFRACTAL ANALYSIS |
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| Authors: | Liu Hao Wen Zhixiong |
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| Affiliation: | [1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China [2]School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | 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 R 2,we get new examples of self-similar measures which,being WQB,obey the multifractal formalism for positive qs. |
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| Keywords: | IFS multifractal quasi-Bernoulli weak quasi-Bernoulli |
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