Functional self-similarity and renormalization group symmetry in mathematical physics
arXiv:math-ph/0001027 · doi:10.1007/BF02557230
Abstract
The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are reviewed. The main achievement is the regular algorithm for finding renormalization group-type symmetries using the contemporary theory of Lie groups of transformations.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol.121, No.1, pp.66-88, October, 1999