Functional self-similarity and renormalization group symmetry in mathematical physics
Vladimir F. Kovalev, Dmitrij V. Shirkov
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.
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