Self-Similar Bootstrap of Divergent Series
arXiv:cond-mat/9706072 · doi:10.1103/PhysRevE.55.6552
Abstract
A method is developed for calculating effective sums of divergent series. This approach is a variant of the self-similar approximation theory. The novelty here is in using an algebraic transformation with a power providing the maximal stability of the self-similar renormalization procedure. The latter is to be repeated as many times as it is necessary in order to convert into closed self-similar expressions all sums from the series considered. This multiple and complete renormalization is called self-similar bootstrap. The method is illustrated by several examples from statistical physics.
1 file, 22 pages, RevTex