Results on the dimension spectrum for self-conformal measures

Michal Rams (1) , Jacques Lévy Véhel (2)

1 PAN - Institut of Mathematics - Polish Academy of Sciences
2 FRACTALES - Fractals, complex models and artificial evolution

We consider the natural measures associated with a family of conformal iterated function systems satisfying the transversality condition but no separation condition. We provide the exact value of their generalized Renyi dimensions D(q) for q in a certain range.

Domaines: Probabilités [math.PR]

Michal Rams, Jacques Lévy Véhel. Results on the dimension spectrum for self-conformal measures. Nonlinearity, 2007, 20 (4), pp.965-973. ⟨10.1088/0951-7715/20/4/009⟩. ⟨hal-00539225⟩