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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 121, Number 1, Pages 66–88
DOI: https://doi.org/10.4213/tmf798 (Mi tmf798) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Functional self-similarity and renormalization group symmetry in mathematical physics

V. F. Kovaleva, D. V. Shirkovb

a Institute for Mathematical Modelling, Russian Academy of Sciences
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
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DOI: https://doi.org/10.4213/tmf798
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
English version:
Theoretical and Mathematical Physics, 1999, Volume 121, Issue 1, Pages 1315–1332
DOI: https://doi.org/10.1007/BF02557230
Bibliographic databases:
Language: Russian
Citation: V. F. Kovalev, D. V. Shirkov, “Functional self-similarity and renormalization group symmetry in mathematical physics”, TMF, 121:1 (1999), 66–88; Theoret. and Math. Phys., 121:1 (1999), 1315–1332
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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