Related Experiment Videos
The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples
1The Pennsylvania State University, University Park, Pennsylvania 16802.
Chaos (Woodbury, N.Y.)
|March 1, 1997
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. (c) 1997 American Institute of Physics.