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TMF, 1998, Volume 114, Number 3, Pages 323–336 (Mi tmf843)  

This article is cited in 13 scientific papers (total in 13 papers)

RG-invariant curves in the fermionic hierarchical model

M. D. Missarov

Kazan State University

Abstract: In the fermionic hierarchical model, we investigate the renormalization group transformation given by a rational mapping in the coupling constant plane. We construct sections of stable invariant curves for all fixed points of this transformation. These curves are graphs of smooth functions, for which we give the upper and the lower estimates.

DOI: https://doi.org/10.4213/tmf843

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English version:
Theoretical and Mathematical Physics, 1998, 114:3, 255–265

Bibliographic databases:

Received: 22.05.1997
Revised: 08.12.1997

Citation: M. D. Missarov, “RG-invariant curves in the fermionic hierarchical model”, TMF, 114:3 (1998), 323–336; Theoret. and Math. Phys., 114:3 (1998), 255–265

Citation in format AMSBIB
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\by M.~D.~Missarov
\paper RG-invariant curves in the fermionic hierarchical model
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\vol 114
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\pages 323--336
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\jour Theoret. and Math. Phys.
\yr 1998
\vol 114
\issue 3
\pages 255--265
\crossref{https://doi.org/10.1007/BF02575439}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. D. Missarov, “Continuum limit in the fermionic hierarchical model”, Theoret. and Math. Phys., 118:1 (1999), 32–40  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. Missarov, MD, “Dynamical phenomena in the hierarchical fermionic model”, Physics Letters A, 253:1–2 (1999), 41  crossref  adsnasa  isi  scopus  scopus  scopus
    3. R. Z. Dautov, M. D. Missarov, “Symmetries and cycles of the renormalization group in a fermionic hierarchical model”, Theoret. and Math. Phys., 126:2 (2001), 195–202  mathnet  crossref  crossref  zmath  isi
    4. Missarov M.D., “Renormalization group solution of fermionic dyson model”, Asymptotic Combinatorics With Applications To Mathematical Physics, Nato Science Series, Series II: Mathematics, Physics and Chemistry, 77, 2002, 151–166  mathscinet  zmath  isi
    5. M. D. Missarov, R. G. Stepanov, “Combinatorial Optimization Problems in Ultrametric Spaces”, Theoret. and Math. Phys., 136:1 (2003), 1037–1047  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. M. D. Missarov, “Symmetry of the Renormalization Group in $p$-Adic Models”, Proc. Steklov Inst. Math., 245 (2004), 160–168  mathnet  mathscinet  zmath
    7. Missarov M.D., Stepanov R.G., “Critical Exponents in p-adic phi(4)-model”, P-Adic Mathematical Physics, AIP Conference Proceedings, 826, 2006, 129–139  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    8. S. V. Kozyrev, “Methods and Applications of Ultrametric and $p$-Adic Analysis: From Wavelet Theory to Biophysics”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), S1–S84  mathnet  crossref  crossref  zmath  isi  elib
    9. M. D. Missarov, “Renormalization group in a fermionic hierarchical model in projective coordinates”, Theoret. and Math. Phys., 173:3 (2012), 1637–1643  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    10. M. D. Missarov, “Functional Fourier transformation and renormalization group transformation in bosonic field theory models”, Theoret. and Math. Phys., 174:2 (2013), 263–272  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    11. M. D. Missarov, A. F. Shamsutdinov, “An algorithm for studying the renormalization group dynamics in the projective space”, Proc. Steklov Inst. Math., 285 (2014), 211–221  mathnet  crossref  crossref  isi  elib  elib
    12. M. D. Missarov, A. F. Shamsutdinov, “The renormalization group flow properties in the neighborhood of the Gaussian fixed point”, Russian Math. (Iz. VUZ), 59:7 (2015), 62–66  mathnet  crossref
    13. M. D. Missarov, A. F. Shamsutdinov, “Zone structure of the renormalization group flow in a fermionic hierarchical model”, Theoret. and Math. Phys., 194:3 (2018), 377–383  mathnet  crossref  crossref  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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