Statistics of DNA sequences: a low frequency analysis
Maria de Sousa Vieira

TL;DR
This paper analyzes the statistical properties of microbial DNA sequences, revealing that their low-frequency power spectra flatten, indicating shorter correlation lengths and challenging previous assumptions of universal fractal behavior across entire DNA molecules.
Contribution
It demonstrates that DNA sequences do not always exhibit fractal behavior throughout the entire molecule, based on low-frequency spectral analysis of microbial genomes.
Findings
Power spectrum flattens at low frequencies in several genomes
Correlation length is much smaller than the DNA chain length
Contradicts previous beliefs about universal fractal behavior
Abstract
We study statistical properties of DNA chains of thirteen microbial complete genomes. We find that the power spectrum of several of the sequences studied flattens off in the low frequency limit. This implies that the correlation length in those sequences is much smaller than the entire DNA chain. Consequently, in contradiction with previous studies, we show that the fractal behavior of DNA chains not always prevail through the entire DNA molecule.
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