V. I. Yukalov, S. Gluzman
Published 1997-06-07Version 1
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.
Comments: 1 file, 22 pages, RevTex
Journal: Phys. Rev. E 55 (1997) 6552-6565
Self-Similar Exponential Approximants
Spectral statistics of the k-body random-interaction model
New approach to Borel summation of divergent series and critical exponent estimates for an N-vector cubic model in three dimensions from five-loop εexpansions
