Numerical Estimates of Generalized Dimensions D_q for Negative q
Riedi, Rudolf H.
Usual fixed-size box-counting algorithms are inefficient for computing generalized fractal dimensions D(<i>q</i>) in the range of <i>q</i><0. In this Letter we describe a new numerical algorithm specifically devised to estimate generalized dimensions for large negative <i>q</i>, providing evidence of its better performance. We compute the complete spectrum of the HÃ©non attractor, and interpret our results in terms of a "phase transition" between different multiplicative laws.