| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4664146 | Acta Mathematica Scientia | 2010 | 9 Pages |
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 ℝ2, we get new examples of self-similar measures which, being WQB, obey the multifractal formalism for positive q's.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
