Siegel disc singularity spectra
Research output: Contribution to journal › Article
The author numerically determines the generalized dimensions and spectrum of singularities of a critical point orbit on the boundary of a Siegel disc. The local scaling exponent, alpha MN, and spectrum dependence on the degree, d, of the critical point are also considered. He finds that lim d to infinity mod alpha MN mod d approximately=0.523 53 and hence, asymptotically, the lower limit of the spectrum is constant whilst the upper limit is proportional to d.
|Number of pages||7|
|Journal||Journal of Physics A: Mathematical and General|
|Publication status||Published - 1 Dec 1992|