%0 Journal Article %T Understanding maximal repetitions in strings %A Maxime Crochemore %A Lucian Ilie %J Computer Science %D 2008 %I arXiv %X The cornerstone of any algorithm computing all repetitions in a string of length n in O(n) time is the fact that the number of runs (or maximal repetitions) is O(n). We give a simple proof of this result. As a consequence of our approach, the stronger result concerning the linearity of the sum of exponents of all runs follows easily. %U http://arxiv.org/abs/0802.2829v1