Functional self-similarity and renormalization group symmetry in mathematical physics

  title={Functional self-similarity and renormalization group symmetry in mathematical physics},
  author={V. F. Kovalev and D. V. Shirkov},
  journal={Theoretical and Mathematical Physics},
  • V. F. KovalevD. V. Shirkov
  • Published 1 October 1999
  • Physics
  • Theoretical and Mathematical Physics
The results 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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