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The analysis of DNA sequences through information theory methods is reviewed from the beginning in the 70s. The subject is addressed within a broad context, describing in some detail the cornerstone contributions in the field. The emerging interest concerning long-range correlations and the mosaic structure of DNA sequences is considered from our own point of view. A recent procedure developed by the authors is also outlined.doi:10.1016/0031-3203(95)00145-x fatcat:7b3vw2gvsrg63nsrmcxhawzyku