数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1514-1522.doi: 10.1016/S0252-9602(10)60144-0
刘浩, 文志雄
LIU Hao, WEN Zhi-Xiong
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.
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