Siegel disc singularity spectra

A. H. Osbaldestin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number022
Pages (from-to)1169-1175
Number of pages7
JournalJournal of Physics A: Mathematical and General
Issue number5
Publication statusPublished - 1 Dec 1992


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