Functional self-similarity and renormalization group symmetry in mathematical physics

Physics – Mathematical Physics

Scientific paper

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol.121, No.1, pp.66-88, October, 1999

Scientific paper

10.1007/BF02557230

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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