On the completeness of multifractal spectra
- Schmeling, Jörg
2010 Mathematics Subject Classification
- 37C45 37D35 28A80 37B25
- multifractal analysis, Gibbs measures, depending conformal prellers, Lyapunov exponents, thermodynamic formalism, symbolic dynamics
We study the behavior of multifractal spectra on the boundary of their domains of definition. In particular, we show that the dimension of the set of points having minimal (or maximal) pointwise dimension is not necessarily zero. However, this situation may be neglected in the sense of Baire category for Gibbs measures on expanding conformal repellers.
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