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Vasil'ev, Aleksandr Nikolaevich
Statistics Math-Net.Ru
Total publications: 72
Scientific articles: 72

Number of views:
This page:2816
Abstract pages:30735
Full texts:11657
References:4148
Professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person31827
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/200925

Publications in Math-Net.Ru Citations
2000
1. A. N. Vasil'ev, “The $H$ model of critical dynamics: A proof of the multiplicative renormalizability of the simplified $H_0$ model”, TMF, 122:3 (2000),  385–399  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 122:3 (2000), 323–334  isi
1999
2. L. Ts. Adzhemyan, N. V. Antonov, A. N. Vasil'ev, “Renormalization group, operator expansion, and anomalous scaling in a simple model of turbulent diffusion”, TMF, 120:2 (1999),  309–314  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 120:2 (1999), 1074–1078  isi 30
3. L. Ts. Adzhemyan, A. N. Vasil'ev, Yu. S. Kabrits, M. V. Kompaniets, “$H$-Model of critical dynamics: Two-loop calculations of RG functions and critical indices”, TMF, 119:1 (1999),  73–92  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 119:1 (1999), 454–470  isi 13
4. A. N. Vasil'ev, M. M. Perekalin, “Fluctuation-dissipation theorem for composite operators in critical-dynamics models”, TMF, 118:2 (1999),  305–310  mathnet  zmath; Theoret. and Math. Phys., 118:2 (1999), 241–245  isi
1998
5. L. Ts. Adzhemyan, A. N. Vasil'ev, “H-model of critical dynamics: Choice of dynamic variables, elimination of sound modes, and equations for sound waves in the neighborhood of $T_{\mathrm c}$”, TMF, 117:1 (1998),  140–160  mathnet  zmath; Theoret. and Math. Phys., 117:1 (1998), 1223–1239  isi 4
1997
6. A. N. Vasil'ev, M. I. Vyazovskii, “Proof of the absence of multiplicative renormalizability of the Gross–Neveu model in dimensional regularization $d=2+2\varepsilon$”, TMF, 113:1 (1997),  85–99  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 113:1 (1997), 1277–1288  isi 18
7. N. V. Antonov, A. N. Vasil'ev, “Renormalization group in the theory of developed turbulence. The problem of justifying the Kolmogorov hypotheses for composite operators”, TMF, 110:1 (1997),  122–136  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 110:1 (1997), 97–108  isi 15
1996
8. A. N. Vasil'ev, M. I. Vyazovskii, S. È. Derkachev, N. A. Kivel', “Three loops calculation of the field anomalous dimension in the full four-fermion $U_N$-symmetrical model”, TMF, 107:3 (1996),  359–371  mathnet  zmath; Theoret. and Math. Phys., 107:3 (1996), 710–719  isi 25
9. A. N. Vasil'ev, M. I. Vyazovskii, S. È. Derkachev, N. A. Kivel', “On equivalence of renormalizations for standard and dimensional regularizations of $2D$ four-fermion interactions”, TMF, 107:1 (1996),  27–46  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 107:1 (1996), 441–455  isi 36
10. L. Ts. Adzhemyan, N. V. Antonov, A. N. Vasil'ev, “Quantum field renormalization group in the theory of fully developed turbulence”, UFN, 166:12 (1996),  1257–1284  mathnet; Phys. Usp., 39:12 (1996), 1193–1219  isi 85
1995
11. A. N. Vasil'ev, G. Yu. Panasyuk, “On the possibilities of a phase transition of superconducting type in the Gross–Neveu model”, TMF, 103:2 (1995),  295–298  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 103:2 (1995), 570–572  isi 3
12. A. N. Vasil'ev, S. È. Derkachev, N. A. Kivel', “A technique for calculating the $\gamma$-matrix structures of the diagrams of a total four-fermion interaction with infinite number of vertices $d=2+\epsilon$ dimensional regularization”, TMF, 103:2 (1995),  179–191  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 103:2 (1995), 487–495  isi 30
13. L. Ts. Adzhemyan, N. V. Antonov, A. N. Vasiliev, M. M. Perekalin, “The problem of justifying Kolmogorov's conjectures in the stochastic theory of turbulence”, Zap. Nauchn. Sem. POMI, 224 (1995),  43–54  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 88:2 (1998), 134–141 1
1993
14. A. N. Vasil'ev, A. S. Stepanenko, “The $1/n$ expansion in the Gross–Neveu model: Conformal bootstrap calculation of the exponent $1/\nu$ to the order $1/n^2$”, TMF, 97:3 (1993),  364–372  mathnet  mathscinet; Theoret. and Math. Phys., 97:3 (1993), 1349–1354  isi 35
15. N. V. Antonov, A. N. Vasil'ev, M. M. Stepanova, “Infrared asymptotics of the Feynman propagator in a simple non-Abellian model”, TMF, 96:2 (1993),  313–320  mathnet; Theoret. and Math. Phys., 96:2 (1993), 989–993  isi
16. A. N. Vasil'ev, A. S. Stepanenko, “A method of calculating the critical dimensions of composite operators in the massless nonlinear $\sigma$ model”, TMF, 95:1 (1993),  160–175  mathnet  zmath; Theoret. and Math. Phys., 95:1 (1993), 471–481 21
17. A. N. Vasil'ev, S. È. Derkachev, N. A. Kivel', A. S. Stepanenko, “The $1/n$ expansion in the Gross–Neveu model: Conformal bootstrap calculation of the index $\eta$ in order $1/n^3$”, TMF, 94:2 (1993),  179–192  mathnet; Theoret. and Math. Phys., 94:2 (1993), 127–136  isi 81
1992
18. A. N. Vasil'ev, S. È. Derkachev, N. A. Kivel', A. S. Stepanenko, “Proof of conformal invariance in the critical regime for models of Gross–Neveu type”, TMF, 92:3 (1992),  486–497  mathnet  mathscinet; Theoret. and Math. Phys., 92:3 (1992), 1047–1054  isi 12
19. V. F. Borin, A. N. Vasil'ev, M. Yu. Nalimov, “Modified critical behavior in the $\varphi^4(O_n)$ model”, TMF, 91:1 (1992),  168–172  mathnet; Theoret. and Math. Phys., 91:1 (1992), 446–448  isi
1991
20. N. V. Antonov, A. N. Vasil'ev, A. S. Stepanenko, “Scaling function $\tau\to 0$ asymptotics of the correlation function in the $O_n-\varphi^4$ model”, TMF, 88:1 (1991),  149–152  mathnet; Theoret. and Math. Phys., 88:1 (1991), 779–781  isi
1990
21. L. Ts. Adzhemyan, A. N. Vasil'ev, M. M. Perekalin, Kh. Yu. Reittu, “Wave scattering in a randomly inhomogeneous medium with long-range noise correlation function $\sim1/r$”, TMF, 84:2 (1990),  250–261  mathnet; Theoret. and Math. Phys., 84:2 (1990), 848–856  isi
1989
22. A. N. Vasil'ev, “Combinatorics of the $R$ operation”, TMF, 81:3 (1989),  336–353  mathnet  mathscinet; Theoret. and Math. Phys., 81:3 (1989), 1244–1257  isi 9
23. L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich, Yu. M. Pis'mak, “Quantum field renormalization group in the theory of stochastic Langmuir turbulence”, TMF, 78:3 (1989),  368–383  mathnet  mathscinet; Theoret. and Math. Phys., 78:3 (1989), 260–271  isi 9
24. L. Ts. Adzhemyan, A. N. Vasil'ev, Yu. M. Pis'mak, “Wave propagation in a randomly inhomogeneous medium with strongly developed fluctuations. IV. Light wave in a uniaxial liquid crystal”, TMF, 78:2 (1989),  200–214  mathnet; Theoret. and Math. Phys., 78:2 (1989), 143–153  isi 2
1988
25. L. Ts. Adzhemyan, A. N. Vasil'ev, Yu. M. Pis'mak, “Propagation of waves in a randomly inhomogeneous medium with strongly developed fluctuations. III. Arbitrary power-law noise correlation function”, TMF, 74:3 (1988),  360–372  mathnet; Theoret. and Math. Phys., 74:3 (1988), 241–250  isi 4
26. L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich, “Renormalization-group approach in the theory of turbulence: Renormalization and critical dimensions of the composite operators of the energy-momentum tensor”, TMF, 74:2 (1988),  180–191  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 74:2 (1988), 115–123  isi 29
1987
27. L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich, “Turbulent dynamo as spontaneous symmetry breaking”, TMF, 72:3 (1987),  369–383  mathnet  mathscinet; Theoret. and Math. Phys., 72:3 (1987), 940–950  isi 28
28. A. N. Vasil'ev, M. A. Guzev, “Adiabatic formalism and semiclassical approximation for discrete levels”, TMF, 72:2 (1987),  229–243  mathnet; Theoret. and Math. Phys., 72:2 (1987), 842–853  isi 1
1986
29. A. N. Vasil'ev, M. A. Guzev, “Particle capture by a slowly varying periodic potential”, TMF, 68:3 (1986),  401–414  mathnet  zmath; Theoret. and Math. Phys., 68:3 (1986), 907–916  isi 13
30. L. Ts. Adzhemyan, A. N. Vasil'ev, Yu. M. Pis'mak, “Propagation of waves in a randomly inhomogeneous medium with strongly developed fluctuations. II. Infrared representation and large-distance behavior”, TMF, 68:3 (1986),  323–337  mathnet; Theoret. and Math. Phys., 68:3 (1986), 855–865  isi 6
31. L. Ts. Adzhemyan, A. N. Vasil'ev, Yu. M. Pis'mak, “Propagation of waves in a randomly inhomogeneous medium with strongly developed fluctuations. I. Renormalization group and $4-\varepsilon$-expansion”, TMF, 68:2 (1986),  198–209  mathnet; Theoret. and Math. Phys., 68:2 (1986), 770–777  isi 3
32. A. N. Vasil'ev, M. A. Guzev, “Simple proof that an adiabatic invariant is conserved to exponential accuracy over a complete interval of development”, TMF, 66:1 (1986),  146–149  mathnet  mathscinet; Theoret. and Math. Phys., 66:1 (1986), 97–99  isi
1985
33. L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich, “Quantum-field renormalization group in the theory of turbulence: Magnetohydrodynamics”, TMF, 64:2 (1985),  196–207  mathnet  zmath; Theoret. and Math. Phys., 64:2 (1985), 777–785  isi 41
1984
34. A. N. Vasil'ev, M. M. Perekalin, Yu. M. Pis'mak, “Conformal bootstrap equations for Yang–Mills type interaction”, TMF, 60:2 (1984),  317–319  mathnet; Theoret. and Math. Phys., 60:2 (1984), 846–847  isi 3
35. N. V. Antonov, A. N. Vasil'ev, “Critical dynamics as a field theory”, TMF, 60:1 (1984),  59–71  mathnet; Theoret. and Math. Phys., 60:1 (1984), 671–679  isi 38
36. A. N. Vasil'ev, M. Yu. Nalimov, Yu. R. Khonkonen, “$1/N$ expansion: Calculation of anomalous dimensions and mixing matrices in the order $1/N$ for $N\times p$ matrix gauge-invariant $\sigma$-model”, TMF, 58:2 (1984),  169–183  mathnet; Theoret. and Math. Phys., 58:2 (1984), 111–120  isi 16
37. L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich, “Renormalization-group approach to the theory of turbulence. Inclusion of a passive admixture”, TMF, 58:1 (1984),  72–78  mathnet  zmath; Theoret. and Math. Phys., 58:1 (1984), 47–51  isi 29
1983
38. L. Ts. Adzhemyan, A. N. Vasil'ev, Yu. M. Pis'mak, “Renormalization-group approach in the theory of turbulence: The dimensions of composite operators”, TMF, 57:2 (1983),  268–281  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 57:2 (1983), 1131–1141  isi 88
39. A. N. Vasil'ev, M. Yu. Nalimov, “The $CP^{N-1}$ model: Calculation of anomalous dimensions and the mixing matrices in the order $1/N$”, TMF, 56:1 (1983),  15–30  mathnet; Theoret. and Math. Phys., 56:1 (1983), 643–653  isi 42
40. A. N. Vasil'ev, M. M. Perekalin, Yu. M. Pis'mak, “On the possibility of conformal infrared asymptotic behavior in non-Abelian Yang–Mills theory”, TMF, 55:3 (1983),  323–334  mathnet; Theoret. and Math. Phys., 55:3 (1983), 529–536  isi 8
41. A. N. Vasil'ev, M. Yu. Nalimov, “Analog of dimensional regularization for calculation of the renormalization-group functions in the $1/n$ expansion for arbitrary dimension of space”, TMF, 55:2 (1983),  163–175  mathnet; Theoret. and Math. Phys., 55:2 (1983), 423–431  isi 47
1982
42. A. N. Vasil'ev, Yu. M. Pis'mak, Yu. R. Khonkonen, “$1/n$ expansion: clculation of the exponent $\eta$ in the order $1/n^3$ by the conformal bootstrap method”, TMF, 50:2 (1982),  195–206  mathnet; Theoret. and Math. Phys., 50:2 (1982), 127–134  isi 124
43. N. M. Bogolyubov, A. N. Vasil'ev, Yu. M. Pis'mak, “Enumeration of 3-conneeted labeled graphs”, Zap. Nauchn. Sem. LOMI, 120 (1982),  21–24  mathnet  mathscinet  zmath
1981
44. A. N. Vasil'ev, Yu. M. Pis'mak, Yu. R. Khonkonen, “Infrared asymptotic behavior of the gluon propagator”, TMF, 48:3 (1981),  284–296  mathnet; Theoret. and Math. Phys., 48:3 (1981), 750–758  isi 12
45. A. N. Vasil'ev, Yu. M. Pis'mak, Yu. R. Khonkonen, “$1/n$ Expansion: Calculation of the exponents $\eta$ and $\nu$ in the order $1/n^2$ for arbitrary number of dimensions”, TMF, 47:3 (1981),  291–306  mathnet; Theoret. and Math. Phys., 47:3 (1981), 465–475  isi 199
46. A. N. Vasil'ev, Yu. M. Pis'mak, Yu. R. Khonkonen, “Simple method of calculating the critical indices in the $1/n$ expansion”, TMF, 46:2 (1981),  157–171  mathnet; Theoret. and Math. Phys., 46:2 (1981), 104–113  isi 145
1979
47. A. N. Vasil'ev, A. V. Kuzmenko, “Functional integral for the scattering amplitude in the presence of a long-range interaction Journal Theoretical and Mathematical Physics”, TMF, 41:1 (1979),  12–25  mathnet  mathscinet; Theoret. and Math. Phys., 41:1 (1979), 854–862  isi
1978
48. M. Bordag, A. N. Vasil'ev, ““Hidden connections” and functional integral representation of the partition function of the canonical ensemble”, TMF, 34:3 (1978),  364–373  mathnet  mathscinet; Theoret. and Math. Phys., 34:3 (1978), 232–238 3
49. M. A. Braun, A. N. Vasil'ev, A. L. Kitanin, Yu. M. Pis'mak, “On renormalization and the $\mathscr R$-operation for quantum electrodynamics in an external field”, TMF, 34:2 (1978),  158–169  mathnet; Theoret. and Math. Phys., 34:2 (1978), 98–105
1977
50. A. N. Vasil'ev, A. V. Kuzmenko, “Representation of the scattering amplitude by a functional integral and quasiclassical asymptotic behavior in quantum mechanics”, TMF, 31:3 (1977),  313–326  mathnet  mathscinet; Theoret. and Math. Phys., 31:3 (1977), 479–488 8
1976
51. N. M. Bogolyubov, V. F. Brattsev, A. N. Vasil'ev, A. L. Korzhenevskii, R. A. Radzhabov, “High-temperature expansions at an arbitrary magnetization in the ising model”, TMF, 26:3 (1976),  341–351  mathnet; Theoret. and Math. Phys., 26:3 (1976), 230–237 6
1975
52. A. N. Vasil'ev, A. L. Kitanin, “Nonstationary perturbation theory for the energy shifts of a degenerate level”, TMF, 24:2 (1975),  219–229  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 24:2 (1975), 786–893 8
53. A. N. Vasil'ev, R. A. Radzhabov, “Analysis of the nonstar graphs of the Legendre transform in the ising model”, TMF, 23:3 (1975),  366–373  mathnet; Theoret. and Math. Phys., 23:3 (1975), 575–579 8
1974
54. A. N. Vasil'ev, R. A. Radzhabov, “Legendre transforms in the Ising model”, TMF, 21:1 (1974),  49–59  mathnet; Theoret. and Math. Phys., 21:1 (1974), 963–970 15
55. A. N. Vasil'ev, A. K. Kazanskii, Yu. M. Pis'mak, “Diagrammatic analysis of the fourth Legendre transform”, TMF, 20:2 (1974),  181–193  mathnet; Theoret. and Math. Phys., 20:2 (1974), 754–762 17
56. A. N. Vasil'ev, A. K. Kazanskii, Yu. M. Pis'mak, “Equations for higher Legendre transforms in terms of 1-irreducible vertices”, TMF, 19:2 (1974),  186–200  mathnet; Theoret. and Math. Phys., 19:2 (1974), 443–453 14
57. A. G. Basuev, A. N. Vasil'ev, “Method of summing the perturbation series in scalar theories”, TMF, 18:2 (1974),  181–189  mathnet  mathscinet; Theoret. and Math. Phys., 18:2 (1974), 129–135 12
1973
58. A. N. Vasil'ev, “Stability of an interaction against spontaneous production of an average boson field”, TMF, 17:1 (1973),  24–33  mathnet; Theoret. and Math. Phys., 17:1 (1973), 960–966 1
59. A. N. Vasil'ev, “Consequences of the convexity of Legendre transformations (generalized Goldstone theorem)”, TMF, 15:3 (1973),  320–331  mathnet; Theoret. and Math. Phys., 15:3 (1973), 550–558 1
60. A. N. Vasil'ev, Yu. M. Pis'mak, “Unitarity of the Wick $T$-exponent”, TMF, 15:2 (1973),  182–196  mathnet; Theoret. and Math. Phys., 15:2 (1973), 449–459 5
61. A. N. Vasil'ev, A. K. Kazanskii, “Convexity properties of Legendre transformations (variational methods in quantum field theory)”, TMF, 15:1 (1973),  43–58  mathnet  mathscinet; Theoret. and Math. Phys., 15:1 (1973), 345–356 6
62. A. N. Vasil'ev, A. K. Kazanskii, “Ations of motion for a Legendre transform arbitrary order”, TMF, 14:3 (1973),  289–305  mathnet  mathscinet; Theoret. and Math. Phys., 14:3 (1973), 215–226 26
1972
63. A. N. Vasil'ev, “Vacuum energy density as a function of the bare mass in scalar theories”, TMF, 13:2 (1972),  178–183  mathnet; Theoret. and Math. Phys., 13:2 (1972), 1067–1070 1
64. A. K. Kazanskii, A. N. Vasil'ev, “Legendre transforms of the generating functionals in quantum field theory”, TMF, 12:3 (1972),  352–369  mathnet; Theoret. and Math. Phys., 12:3 (1972), 875–887 34
65. A. N. Vasil'ev, “On the anomalous origin of masses. II”, TMF, 12:1 (1972),  18–28  mathnet; Theoret. and Math. Phys., 12:1 (1972), 630–637 3
66. A. N. Vasil'ev, “On the anomalous origin of masses. I”, TMF, 11:2 (1972),  137–151  mathnet; Theoret. and Math. Phys., 11:2 (1972), 399–409 3
67. N. V. Borisov, A. N. Vasil'ev, “Selfadjointness of some representations of field algebra”, TMF, 11:1 (1972),  9–18  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 11:1 (1972), 306–312
1970
68. A. N. Vasil'ev, “Criterion for the commutant of a quantized field to be algebraically closed”, TMF, 5:2 (1970),  161–166  mathnet  zmath; Theoret. and Math. Phys., 5:2 (1970), 1057–1060 1
69. A. N. Vasil'ev, “Algebraic aspects of Wightman axiomatics”, TMF, 3:1 (1970),  24–56  mathnet  mathscinet; Theoret. and Math. Phys., 3:1 (1971), 317–340 4
70. A. N. Vasil'ev, “Theory of representations of a topological (non-Banach) involutory algebra”, TMF, 2:2 (1970),  153–168  mathnet  mathscinet; Theoret. and Math. Phys., 2:2 (1970), 113–123 12
1969
71. A. N. Vasil'ev, “Algebraic structure of local field theory with finite-fold vacuum degeneracy”, TMF, 1:3 (1969),  305–317  mathnet  mathscinet; Theoret. and Math. Phys., 1:3 (1969), 233–242 3
72. A. N. Vasil'ev, A. F. Yakubov, “Vacuum degeneration and spurion formalism for the rotation group”, TMF, 1:2 (1969),  182–186  mathnet; Theoret. and Math. Phys., 1:2 (1969), 139–142

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