This article is cited in 18 papers

Functional self-similarity and renormalization group symmetry in mathematical physics

V. F. Kovalev^a, D. V. Shirkov<sup>b

a</sup> Institute for Mathematical Modelling, Russian Academy of Sciences
^b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Abstract: 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.

Received: 24.05.1999

DOI: 10.4213/tmf798

 English version: Theoretical and Mathematical Physics, 1999, 121:1, 1315–1332

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