Abstract
We first motivate the study of multifractals. We then present a rigorous mathematical foundation for the multifractal analysis of Gibbs measures invariant under dynamical systems. Finally we effect a complete multifractal analysis for several classes of hyperbolic dynamical systems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 89-106 |
| Number of pages | 18 |
| Journal | Chaos |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1997 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics