Acta mathematica scientia, Series B >
IFS ON BOUNDARIES OF HOMOGENEOUS TREES: WQB CONDITION AND MULTIFRACTAC ANALYSIS
Received date: 2008-07-21
Revised date: 2009-03-15
Online published: 2010-09-20
Supported by
This work was supported by NSFC (10571140).
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.
Key words： IFS; multifractal; quasi-Bernoulli; weak quasi-Bernoulli
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 . DOI: 10.1016/S0252-9602(10)60144-0
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