Uncertainty and Symmetries in DNA Sequences

摘要

In this paper, similarities and distinctions between random sequences and DNA sequences are analized. It will be shown that by using the complex unit roots representation, and some methods of signal analysis, DNA sequences look as random sequences with some fractal shape (in their DNA walks). A short review on the main results about the long range statistical dependence and the main parameters of complessity will be also given. However, by using wavelet transform it is possible to give some more information about a possible hidden rule concerning the nucleotide distribution. In fact, clusters of wavelet coefficients clearly show the differences between random sequences and DNA sequences.