dorsal/arxiv
View SchemaDimensions of fractals related to languages defined by tagged strings in complete genomes
| Authors | Zu-Guo Yu, Bai-lin Hao, Hui-min Xie, Guo-Yi Chen |
|---|---|
| Categories | |
| ArXiv ID | physics/9910040 |
| URL | https://arxiv.org/abs/physics/9910040 |
| DOI | 10.1016/S0960-0779(99)00141-1 |
| Journal | Chaos, Solitons and Fractals 11(14) (2000) 2215-2222 |
Abstract
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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"abstract": "A representation of frequency of strings of length K in complete genomes of\nmany organisms in a square has led to seemingly self-similar patterns when K\nincreases. These patterns are caused by under-represented strings with a\ncertain \"tag\"-string and they define some fractals when K tends to infinite.\nThe Box and Hausdorff dimensions of the limit set are discussed. Although the\nmethod proposed by Mauldin and Williams to calculate Box and Hausdorff\ndimension is valid in our case, a different and simpler method is proposed in\nthis paper.",
"arxiv_id": "physics/9910040",
"authors": [
"Zu-Guo Yu",
"Bai-lin Hao",
"Hui-min Xie",
"Guo-Yi Chen"
],
"categories": [
"physics.bio-ph",
"q-bio"
],
"doi": "10.1016/S0960-0779(99)00141-1",
"journal_ref": "Chaos, Solitons and Fractals 11(14) (2000) 2215-2222",
"title": "Dimensions of fractals related to languages defined by tagged strings in complete genomes",
"url": "https://arxiv.org/abs/physics/9910040"
},
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