标题： 分形维度与由完整基因组中标记字符串定义的语言相关 显示英文标题

标题： Dimensions of fractals related to languages defined by tagged strings in complete genomes

摘要： 在正方形中表示许多生物完整基因组中长度为K的字符串的频率，当K增加时导致了看似自相似的模式。 这些模式是由某些“标记”字符串的低频出现引起的，并且当K趋于无穷时定义了一些分形。 讨论了极限集的盒维数和豪斯多夫维数。 尽管Mauldin和Williams提出的方法在我们的情况下是有效的，但本文提出了另一种更简单的方法。 显示英文摘要

摘要： A representation of frequency of strings of length K in complete genomes of many organisms in a square has led to seemingly self-similar patterns when K increases. These patterns are caused by under-represented strings with a certain "tag"-string and they define some fractals when K tends to infinite. The Box and Hausdorff dimensions of the limit set are discussed. Although the method proposed by Mauldin and Williams to calculate Box and Hausdorff dimension is valid in our case, a different and simpler method is proposed in this paper.