Nonconcave Entropies in Multifractals and the Thermodynamic Formalism
β Scribed by Hugo Touchette; Christian Beck
- Book ID
- 106431006
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 218 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0022-4715
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
By obtaining a new sufficient condition for a valid multifractal formalism, we improve in this paper a result developed by L. Olsen (1995, Adv. Math. 116, 82-196). In particular, we describe a large class of measures satisfying the multifractal formalism and for which the construction of Gibbs measu
We point out that applying a maximization principle on a Tsallis-like generalized form of the Kolmogorov entropy for iterated function systems, naturally provides a canonical statistical frame for the description of the multifractal measures generated by such dynamical processes. Multifractal spectr