N. Buric et al., SINGULARITY SPECTRUM OF A FRACTAL DIAGRAM FOR A HAMILTONIAN SYSTEM, Journal of physics. A, mathematical and general, 29(7), 1996, pp. 159-163
We determine numerically the relevant f(alpha) spectrum of scaling ind
ices for the fractal diagram of the standard map. Infinite partitions,
related by the Gauss transformation and an appropriate measure had to
be used in order to obtain convergent results. This choice of the mea
sure and the partitions is motivated by the method of modular smoothin
g.