Abstract
We present the wavelet transform as a mathematical microscope which is well suited for studying the local scaling properties of fractal objects. We apply this technique to probability measures on self-similar Cantor sets and to the golden-mean trajectories on two-tori at the onset of chaos.
- Received 11 January 1988
DOI:https://doi.org/10.1103/PhysRevLett.61.2281
©1988 American Physical Society