Mathematical Research Letters

Volume 9, Issue 6, November 2002 pp. 701-713.

Divergence points of deformed empirical measures

Authors: L. Olsen
Author institution: University of St. Andrews

Summary: 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.

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