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

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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 qs.
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