  Herein it is shown that in order to study the statistical properties of DNA
sequences in bacterial chromosomes it suffices to consider only one half of the
chromosome because they are similar to its corresponding complementary sequence
in the other half. This is due to the inverse bilateral symmetry of bacterial
chromosomes. Contrary to the classical result that DNA coding regions of
bacterial genomes are purely uncorrelated random sequences, here it is shown,
via a renormalization group approach, that DNA random fluctuations of single
bases are modulated by log-periodic variations. Distance series of triplets
display long-range correlations in each half of the intact chromosome and in
intronless protein-coding sequences, or both long-range correlations and
log-periodic modulations along the whole chromosome. Hence scaling analyses of
distance series of DNA sequences have to consider the functional units of
bacterial chromosomes.
