IFS on boundaries of homogeneous trees: WQB condition and ultifractal analysis |
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| Authors: | Liu Hao Wen Zhixiong |
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| Institution: | 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 ? or ?2, we get new examples of self-similar measures which, being WQB, obey the multifractal formalism for positive q's. |
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| Keywords: | IFS multifractal quasi-Bernoulli weak quasi-Bernoulli |
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