Antonov Nikolai Viktorovich

Publications in Math-Net.Ru

1. Field theoretic renormalization group in a model of random walk on a random surface
   
   Zap. Nauchn. Sem. POMI, 548 (2025),  16–26
2. A general vector field coupled to a strongly compressible turbulent flow
   
   Zap. Nauchn. Sem. POMI, 509 (2021),  5–24
3. Renormalization group analysis of models of advection of a vector admixture and a tracer field by a compressible turbulent flow
   
   TMF, 200:3 (2019),  429–451
4. Renormalization group in the problem of active scalar advection
   
   Zap. Nauchn. Sem. POMI, 487 (2019),  5–27
5. Directed-bond percolation subjected to synthetic compressible velocity fluctuations: Renormalization group approach
   
   TMF, 190:3 (2017),  377–390
6. Critical behavior of the $O(n)$ $\phi^4$ model with an antisymmetric tensor order parameter: Three-loop approximation
   
   TMF, 190:2 (2017),  239–253
7. Scaling in landscape erosion: Renormalization group analysis of a model with infinitely many couplings
   
   TMF, 190:2 (2017),  226–238
8. Random interface growth in a random environment: Renormalization group analysis of a simple model
   
   TMF, 185:1 (2015),  37–56
9. Anomalous scaling in statistical models of passively advected vector fields
   
   TMF, 176:1 (2013),  22–34
10. Effects of turbulent transfer on critical behavior
    
    TMF, 169:1 (2011),  124–136
11. The effect of strongly anisotropic turbulent mixing on critical behavior: Renormalization group analysis of two nonstandard systems
    
    TMF, 167:1 (2011),  50–77
12. Renormalization group in the theory of turbulence: Three-loop approximation as $d\to\infty$
    
    TMF, 158:3 (2009),  460–477
13. Exact Anomalous Dimensions of Composite Operators in the Obukhov–Kraichnan Model
    
    TMF, 141:3 (2004),  455–468
14. “Toy models” of turbulent convection and the hypothesis of the local isotropy restoration
    
    Zap. Nauchn. Sem. POMI, 269 (2000),  79–91
15. Renormalization group, operator expansion, and anomalous scaling in a simple model of turbulent diffusion
    
    TMF, 120:2 (1999),  309–314
16. Renormalization group in turbulence theory: Exactly solvable Heisenberg model
    
    TMF, 115:2 (1998),  245–262
17. Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy
    
    TMF, 112:3 (1997),  417–427
18. Renormalization group in the problem of the fully developed turbulence of a compresible fluid
    
    TMF, 110:3 (1997),  385–398
19. Renormalization group in the theory of developed turbulence. The problem of justifying the Kolmogorov hypotheses for composite operators
    
    TMF, 110:1 (1997),  122–136
20. Renormalization group in the theory of fully developed turbulence. Problem of the infrared relevant corrections to the Navier–Stokes equation
    
    TMF, 107:1 (1996),  47–63
21. Renormalization group in the theory of fully developed turbulence. Composite operators of canonical dimension eight
    
    TMF, 106:1 (1996),  92–101
22. Quantum field renormalization group in the theory of fully developed turbulence
    
    UFN, 166:12 (1996),  1257–1284
23. On the infra-red asymptotic behavior of the pair correlator of the energy dissipation rate for well-developed turbulence
    
    Zap. Nauchn. Sem. POMI, 224 (1995),  81–86
24. The problem of justifying Kolmogorov's conjectures in the stochastic theory of turbulence
    
    Zap. Nauchn. Sem. POMI, 224 (1995),  43–54
25. 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
26. Infrared asymptotics of the Feynman propagator in a simple non-Abellian model
    
    TMF, 96:2 (1993),  313–320
27. Scaling function $\tau\to 0$ asymptotics of the correlation function in the $O_n-\varphi^4$ model
    
    TMF, 88:1 (1991),  149–152
28. On the infrared asymptotics of the velocity-velocity correlator in the theory of the turbulence
    
    Zap. Nauchn. Sem. LOMI, 189 (1991),  15–23
29. Critical properties of completely integrable spin models in quasicrystals
    
    TMF, 77:3 (1988),  402–411
30. Propagator of Yang–Mills field in light cone gauge
    
    TMF, 75:3 (1988),  396–402
31. Renormalizing approach to the theory of developed turbulence: Infrared asymptotic of scaling functions
    
    Zap. Nauchn. Sem. LOMI, 169 (1988),  18–28
32. Quantization of Yang–Mills field in gauge with $A_0=0$
    
    TMF, 72:3 (1987),  384–393
33. Scaling function for the velocity correlator in the theory of isotropic developed turbulence
    
    Zap. Nauchn. Sem. LOMI, 164 (1987),  3–9
34. Critical properties and correlation functions of the eight-vertex model on a quasicrystal
    
    Zap. Nauchn. Sem. LOMI, 161 (1987),  13–23
35. Cancellation of infrared divergences in quantum theory of solitons
    
    TMF, 64:3 (1985),  339–346
36. Critical dynamics as a field theory
    
    TMF, 60:1 (1984),  59–71