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Adzhemyan Loran Tsolakovich

Publications in Math-Net.Ru

  1. Representation of renormalization group functions by nonsingular integrals in a model of the critical dynamics of ferromagnets: The fourth order of the $\varepsilon$-expansion

    TMF, 195:1 (2018),  105–116
  2. Renormalization group in the infinite-dimensional turbulence: determination of the RG-functions without renormalization constants

    Nanosystems: Physics, Chemistry, Mathematics, 6:4 (2015),  461–469
  3. Representation of the $\beta$-function and anomalous dimensions by nonsingular integrals in models of critical dynamics

    TMF, 185:1 (2015),  3–11
  4. Principle of maximal randomness and parity violation in turbulence

    TMF, 176:1 (2013),  3–12
  5. Representation of the $\beta$-function and anomalous dimensions by nonsingular integrals: Proof of the main relation

    TMF, 175:3 (2013),  325–336
  6. Renormalization group and the $\varepsilon$-expansion: Representation of the $\beta$-function and anomalous dimensions by nonsingular integrals

    TMF, 169:1 (2011),  100–111
  7. Renormalization group in the theory of turbulence: Three-loop approximation as $d\to\infty$

    TMF, 158:3 (2009),  460–477
  8. Anomalous scaling in the model of turbulent advection of a vector field

    TMF, 146:3 (2006),  467–487
  9. Renormalization group, operator expansion, and anomalous scaling in a simple model of turbulent diffusion

    TMF, 120:2 (1999),  309–314
  10. $H$-Model of critical dynamics: Two-loop calculations of RG functions and critical indices

    TMF, 119:1 (1999),  73–92
  11. 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
  12. Renormalization group in turbulence theory: Exactly solvable Heisenberg model

    TMF, 115:2 (1998),  245–262
  13. The renormalization group investigation of correlation functions and composite operators of the model of stohastic magnetic hydrodynamics

    TMF, 107:1 (1996),  142–154
  14. Calculation of the spectra for developed decaying turbulence in the energy-containing and inertial regions

    TMF, 106:3 (1996),  416–424
  15. Quantum field renormalization group in the theory of fully developed turbulence

    UFN, 166:12 (1996),  1257–1284
  16. Renormalization group approach and short-distance expansion in theory of developed turbulence: Asymptotics of the triplex equal-time correlation function

    TMF, 105:3 (1995),  450–461
  17. Renormalization-group approach to the problem of the effect of compressibility on the spectral properties of developed turbulence

    TMF, 104:2 (1995),  260–270
  18. The problem of justifying Kolmogorov's conjectures in the stochastic theory of turbulence

    Zap. Nauchn. Sem. POMI, 224 (1995),  43–54
  19. Calculation of the SDE-contribution of the dissipation operator to the energy spectrum of developed turbulence

    Zap. Nauchn. Sem. POMI, 224 (1995),  36–42
  20. Composite operators, short–distance expansion and Galilean invariance in the theory of fully developed turbulence. Infrared corrections to the Kolmogorov's scaling

    TMF, 100:3 (1994),  382–401
  21. The principle of maximum randomness in the theory of fully developed turbulence. II. Isotropic decaying turbulence

    TMF, 96:1 (1993),  150–159
  22. The principle of maximum randomness in the theory of fully developed turbulence. I. Homogeneous isotropic turbulence

    TMF, 91:2 (1992),  294–308
  23. Wave scattering in a randomly inhomogeneous medium with long-range noise correlation function $\sim1/r$

    TMF, 84:2 (1990),  250–261
  24. Quantum field renormalization group in the theory of stochastic Langmuir turbulence

    TMF, 78:3 (1989),  368–383
  25. 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
  26. 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
  27. 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
  28. Turbulent dynamo as spontaneous symmetry breaking

    TMF, 72:3 (1987),  369–383
  29. 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
  30. 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
  31. Quantum-field renormalization group in the theory of turbulence: Magnetohydrodynamics

    TMF, 64:2 (1985),  196–207
  32. Renormalization-group approach to the theory of turbulence. Inclusion of a passive admixture

    TMF, 58:1 (1984),  72–78
  33. Renormalization-group approach in the theory of turbulence: The dimensions of composite operators

    TMF, 57:2 (1983),  268–281
  34. Calculation of the hydrodynamic contributions to the two-time correlation functions by means of the nonequilibrium distribution function

    TMF, 27:1 (1976),  104–114
  35. Noncumulant projection and elimination of time derivatives from the nonequilibrium distribution function

    TMF, 24:3 (1975),  368–381
  36. Time asymptotic behavior of the kinetic kernels of linear hydrodynamics

    TMF, 24:2 (1975),  255–264
  37. Method of Bogolyubov's kinetic equation in nonlinear statistical hydrodynamics

    TMF, 19:1 (1974),  125–136
  38. Nonlinear generalization of Mori's method of projection operators

    TMF, 18:3 (1974),  383–392


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