Bogolyubov Nikolai Mikhailovich

Publications in Math-Net.Ru

1. Scalar product of the five-vertex model and complete symmetric polynomials
   
   Zap. Nauchn. Sem. POMI, 520 (2023),  124–138
2. How to Draw a Correlation Function
   
   SIGMA, 17 (2021), 106, 35 pp.
3. One-point function of the four-vertex model
   
   Zap. Nauchn. Sem. POMI, 509 (2021),  39–53
4. Cauchy–Binet determinantal identity and enumeration of plane partitions in a high box
   
   Zap. Nauchn. Sem. POMI, 509 (2021),  25–38
5. Heisenberg $XX0$ chain and random walks on a ring
   
   Zap. Nauchn. Sem. POMI, 494 (2020),  48–63
6. The asymptotics of plane partitions with fixed volumes of diagonal parts
   
   Zap. Nauchn. Sem. POMI, 487 (2019),  68–77
7. Enumerative combinatorics of $XX0$ Heisenberg chain
   
   Zap. Nauchn. Sem. POMI, 487 (2019),  53–67
8. High-accuracy energy formulas for the attractive two-site Bose–Hubbard model
   
   Phys. Rev. A, 97:2 (2018), 23626, 11 pp.
9. The partition function of the four-vertex model in a special external field
   
   Zap. Nauchn. Sem. POMI, 473 (2018),  77–84
10. The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition
    
    Zap. Nauchn. Sem. POMI, 473 (2018),  66–76
11. Time evolution of the atomic inversion for the generalized Tavis–Cummings model–QIM approach
    
    J. Phys. A, 50:46 (2017), 464003, 24 pp.
12. Zero Range Process and Multi-Dimensional Random Walks
    
    SIGMA, 13 (2017), 056, 14 pp.
13. Correlation functions as nests of self-avoiding paths
    
    Zap. Nauchn. Sem. POMI, 465 (2017),  27–45
14. Continuous time multidimensional walks as an integrable model
    
    Zap. Nauchn. Sem. POMI, 465 (2017),  13–26
15. Multi-dimensional random walks and integrable phase models
    
    Zap. Nauchn. Sem. POMI, 448 (2016),  48–68
16. Integrable models and combinatorics
    
    Uspekhi Mat. Nauk, 70:5(425) (2015),  3–74
17. Combinatorial aspects of correlation functions of the $XXZ$ Heisenberg chain in limiting cases
    
    Zap. Nauchn. Sem. POMI, 437 (2015),  15–34
18. Time-dependent correlation functions for a bimodal Bose–Hubbard model
    
    Zap. Nauchn. Sem. POMI, 433 (2015),  65–77
19. Combinatorics of a strongly coupled boson system
    
    TMF, 181:1 (2014),  5–18
20. A combinatorial interpretation of the scalar products of state vectors of integrable models
    
    Zap. Nauchn. Sem. POMI, 421 (2014),  33–46
21. Calculation of correlation functions in totally asymmetric exactly solvable models on a ring
    
    TMF, 175:3 (2013),  370–378
22. Multiple-grain dissipative sandpiles
    
    Zap. Nauchn. Sem. POMI, 403 (2012),  5–18
23. Exactly solvable models of quantum nonlinear optics
    
    Zap. Nauchn. Sem. POMI, 398 (2012),  26–54
24. Scalar products of the state vectors in the totally asymmetric exactly solvable models on a ring
    
    Zap. Nauchn. Sem. POMI, 398 (2012),  5–25
25. Ising limit of a Heisenberg $XXZ$ magnet and some temperature correlation functions
    
    TMF, 169:2 (2011),  179–193
26. The correlation functions of the $XXZ$ Heisenberg chain in the case of zero or infinite anisotropy, and random walks of vicious walkers
    
    Algebra i Analiz, 22:3 (2010),  32–59
27. Solution of the integrable model of the spinor Bose–Einstein condensate with the dipole-dipole interaction
    
    Zap. Nauchn. Sem. POMI, 374 (2010),  5–27
28. Five vertex model with fixed boundary conditions
    
    Algebra i Analiz, 21:3 (2009),  58–78
29. Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model
    
    SIGMA, 5 (2009), 052, 11 pp.
30. Correlation functions of the XX Heisenberg magnet and random walks of vicious walkers
    
    TMF, 159:2 (2009),  179–193
31. Four-vertex model and random tilings
    
    TMF, 155:1 (2008),  25–38
32. Form factors, plane partitions and random walks
    
    Zap. Nauchn. Sem. POMI, 360 (2008),  5–30
33. Enumeration of plane partitions and the algebraic Bethe anzatz
    
    TMF, 150:2 (2007),  193–203
34. On the calculation of the asymptotics of the two-point correlation function of the one-dimensional Bose gas in the trapping potential
    
    Zap. Nauchn. Sem. POMI, 347 (2007),  56–74
35. Four-vertex model
    
    Zap. Nauchn. Sem. POMI, 347 (2007),  34–55
36. Integrable models for the vicious and friendly walkers
    
    Zap. Nauchn. Sem. POMI, 335 (2006),  59–74
37. Functional integration and the twopoint correlation function of the one-dimensional Bose-gas in the harmonic potential
    
    Algebra i Analiz, 17:1 (2005),  84–114
38. $XX0$ Heisenberg chain and random walks
    
    Zap. Nauchn. Sem. POMI, 325 (2005),  13–27
39. Spinor Bose condensate and $\mathrm{su}(1,1)$ Richardson model
    
    Zap. Nauchn. Sem. POMI, 317 (2004),  43–56
40. Quantum Integrable and Nonintegrable Nonlinear Schrödinger Models for Realizable Bose–Einstein Condensation in $d+1$ Dimensions $(d=1,2,3)$
    
    TMF, 134:1 (2003),  55–73
41. Quantum integrability and quantum chaos in the micromaser
    
    TMF, 122:2 (2000),  182–204
42. Fluctuations near the boundaries in the six-vertex model
    
    Zap. Nauchn. Sem. POMI, 269 (2000),  136–142
43. Multi-particle correlation functions in the trapped Bose gas
    
    Zap. Nauchn. Sem. POMI, 269 (2000),  125–135
44. The Probabilities of Survival and Hopping of States in the Phase Model on a Finite Lattice
    
    Trudy Mat. Inst. Steklova, 226 (1999),  36–48
45. Non-Hermitian integrable models
    
    Zap. Nauchn. Sem. POMI, 251 (1998),  22–32
46. Algebraic Bethe anzatz and the Tavis–Cummings model
    
    Zap. Nauchn. Sem. POMI, 245 (1997),  66–79
47. Exact solution of a model of three bound oscillators with Stark nonlinearity
    
    Zap. Nauchn. Sem. POMI, 224 (1995),  122–128
48. The logarithmic corrections in the one-dimensional Hubbard model with attraction
    
    Zap. Nauchn. Sem. LOMI, 189 (1991),  24–36
49. Correlation functions of the one-dimensional Hubbard model
    
    TMF, 82:3 (1990),  331–348
50. The mechanism of Cooper pairing in the one-dimensional Hubbard model
    
    Trudy Mat. Inst. Steklov., 191 (1989),  45–54
51. Critical exponents in completely integrable models of quantum statistical physics
    
    TMF, 70:1 (1987),  135–145
52. Thermodynamics of a one-dimensional lattice Bose gas
    
    TMF, 67:3 (1986),  451–462
53. Quantum nonlinear Schrödinger equation on a lattice
    
    TMF, 66:3 (1986),  455–462
54. On complete screening in the one-dimensional Bose gas
    
    Zap. Nauchn. Sem. LOMI, 150 (1986),  3–6
55. Temperature dependence of the correlation length in a one-dimensional Bose gas
    
    TMF, 64:1 (1985),  92–102
56. On the Poisson structure for the matrix Sine–Gordon equation
    
    Zap. Nauchn. Sem. LOMI, 146 (1985),  3–8
57. Lattice sine-Gordon model with local Hamiltonian
    
    TMF, 61:3 (1984),  364–377
58. Correlation functions of one-dimensional Bose gas in thermodynamic equilibrium
    
    TMF, 60:2 (1984),  262–269
59. Lattice completely integrable regularization of the sine-Gordon model for small coupling constants
    
    TMF, 59:2 (1984),  183–199
60. On the physical sector of the lattice sine-Gordon model
    
    TMF, 51:3 (1982),  344–354
61. Enumeration of 3-conneeted labeled graphs
    
    Zap. Nauchn. Sem. LOMI, 120 (1982),  21–24
62. Some results of the hightemperature expansions for the Ising model in arbitrary magnetic field
    
    Zap. Nauchn. Sem. LOMI, 101 (1981),  11–27
63. Convergence of Feynman diagram expansions in the Ising model
    
    TMF, 30:1 (1977),  138–141
64. High-temperature expansions at an arbitrary magnetization in the ising model
    
    TMF, 26:3 (1976),  341–351


65. Kulish Petr Petrovich
    
    Zap. Nauchn. Sem. POMI, 317 (2004),  7–10