Multifractal spectra and multifractal rigidity for horseshoes
โ Scribed by L. Barreira; Ya. Pesin; J. Sehmeling
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 760 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0925-4668
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Fractals are geometric or physical conรฟgurations with self-similarity, that is, conรฟgurations that remain invariant in the presence of "scale changes". Multifractals, are nontrivial structures that possess a spectrum of scaling indices, instead of the simple scaling structure shown in fractals. Usua
In a previous article [Chaos, Solitons and Fractals, 13 (2002) 1037], the authors have analyzed the multifractal Lyapunov spectrum. Here we continue that study by considering perturbations of the potential and the dynamics to obtain variational expressions for the entropies and Lyapunov spectra. The
## Abstract By now the multifractal structure of selfโsimilar measures satisfying the soโcalled Open Set Condition is well understood. However, if the Open Set Condition is not satisfied, then almost nothing is known. In this paper we prove a nontrivial lower bound for the symbolic multifractal spe