dorsal/arxiv
View SchemaMultifractal characterisation of complete genomes
| Authors | Vo Anh, Ka-Sing Lau, Zu-Guo Yu |
|---|---|
| Categories | |
| ArXiv ID | physics/0108054 |
| URL | https://arxiv.org/abs/physics/0108054 |
| DOI | 10.1088/0305-4470/34/36/301 |
| Journal | J. Phys. A: Math. Gen., vol 34, (2001) 7127-7139 |
Abstract
This paper develops a theory for characterisation of DNA sequences based on their measure representation. The measures are shown to be random cascades generated by an infinitely divisible distribution. This probability distribution is uniquely determined by the exponent function in the multifractal theory of random cascades. Curve fitting to a large number of complete genomes of bacteria indicates that the Gamma density function provides an excellent fit to the exponent function, and hence to the probability distribution of the complete genomes.
{
"annotation_id": "b3bda658-2184-4155-9482-bbd83ee07518",
"date_created": "2026-03-02T18:00:35.382000Z",
"date_modified": "2026-03-02T18:00:35.382000Z",
"file_hash": "7de7a024f953547dab56dfc90d2d4308909eed25eb3ecc011d52e3afc2b2fc01",
"private": false,
"record": {
"abstract": "This paper develops a theory for characterisation of DNA sequences based on\ntheir measure representation. The measures are shown to be random cascades\ngenerated by an infinitely divisible distribution. This probability\ndistribution is uniquely determined by the exponent function in the\nmultifractal theory of random cascades. Curve fitting to a large number of\ncomplete genomes of bacteria indicates that the Gamma density function provides\nan excellent fit to the exponent function, and hence to the probability\ndistribution of the complete genomes.",
"arxiv_id": "physics/0108054",
"authors": [
"Vo Anh",
"Ka-Sing Lau",
"Zu-Guo Yu"
],
"categories": [
"physics.bio-ph",
"q-bio"
],
"doi": "10.1088/0305-4470/34/36/301",
"journal_ref": "J. Phys. A: Math. Gen., vol 34, (2001) 7127-7139",
"title": "Multifractal characterisation of complete genomes",
"url": "https://arxiv.org/abs/physics/0108054"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0aaf710c-71e0-4aa7-a1cf-418e8ea3e860",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}