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) |
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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