Mathematical Research Letters
Volume 9 (2002)
Divergence points of deformed empirical measures
Pages: 701 – 713
We introduce and develope a unifying multifractal framework based on deformations of empirical measures. This framework (1) unifies and extends many results in multifractal analysis of local characteristics of dynamical systems and \lq\lq fractal” measures and (2) provides a systematic basis for the detailed study of divergence points.