The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples
- 1 March 1997
- journal article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 7 (1), 89-106
- https://doi.org/10.1063/1.166242
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.Keywords
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