Dimensions of fractals related to languages defined by tagged strings in complete genomes

Details Dimensions of fractals related to languages defined by tagged strings in complete genomes Dimensions of fractals related to languages defined by tagged strings in complete genomes

1999-10-27

arxiv.org/abs/physics/9910040v1

Chaos, Solitons and Fractals 11(14) (2000) 2215-2222

Physics

Biological Physics

9 pages with two figures

Scientific paper

A representation of frequency of strings of length K in complete genomes of many organisms in a square has led to seemingly self-similar patterns when K increases. These patterns are caused by under-represented strings with a certain "tag"-string and they define some fractals when K tends to infinite. The Box and Hausdorff dimensions of the limit set are discussed. Although the method proposed by Mauldin and Williams to calculate Box and Hausdorff dimension is valid in our case, a different and simpler method is proposed in this paper.

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