The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples.
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. (c) 1997 American Institute of Physics.
Pesin
Yakov
Y
The Pennsylvania State University, University Park, Pennsylvania 16802.
Weiss
Howard
H