Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Bogolyubov, Nikolai Mikhailovich
Statistics Math-Net.Ru
Total publications: 65
Scientific articles: 64
Presentations: 3

Number of views:
This page:4022
Abstract pages:18668
Full texts:6360
References:2262
E-mail: ,

https://www.mathnet.ru/eng/person18429
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/206567

Publications in Math-Net.Ru Citations
2023
1. N. M. Bogolyubov, C. L. Malyshev, “Scalar product of the five-vertex model and complete symmetric polynomials”, Zap. Nauchn. Sem. POMI, 520 (2023),  124–138  mathnet
2021
2. Nikolay Bogolyubov, Cyril Malyshev, “How to Draw a Correlation Function”, SIGMA, 17 (2021), 106, 35 pp.  mathnet  isi  scopus
3. N. M. Bogolyubov, A. G. Pronko, “One-point function of the four-vertex model”, Zap. Nauchn. Sem. POMI, 509 (2021),  39–53  mathnet 2
4. N. M. Bogoliubov, C. L. Malyshev, “Cauchy–Binet determinantal identity and enumeration of plane partitions in a high box”, Zap. Nauchn. Sem. POMI, 509 (2021),  25–38  mathnet
2020
5. N. M. Bogoliubov, C. L. Malyshev, “Heisenberg $XX0$ chain and random walks on a ring”, Zap. Nauchn. Sem. POMI, 494 (2020),  48–63  mathnet 1
2019
6. N. Bogoliubov, C. Malyshev, “The asymptotics of plane partitions with fixed volumes of diagonal parts”, Zap. Nauchn. Sem. POMI, 487 (2019),  68–77  mathnet
7. N. M. Bogoliubov, “Enumerative combinatorics of $XX0$ Heisenberg chain”, Zap. Nauchn. Sem. POMI, 487 (2019),  53–67  mathnet 1
2018
8. Igor Ermakov, Tim Byrnes, Nikolay Bogoliubov, “High-accuracy energy formulas for the attractive two-site Bose–Hubbard model”, Phys. Rev. A, 97:2 (2018), 23626, 11 pp.  mathnet  isi  scopus 2
9. N. Bogoliubov, C. Malyshev, “The partition function of the four-vertex model in a special external field”, Zap. Nauchn. Sem. POMI, 473 (2018),  77–84  mathnet; J. Math. Sci. (N. Y.), 242:5 (2019), 636–641  scopus
10. N. Bogoliubov, C. Malyshev, “The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition”, Zap. Nauchn. Sem. POMI, 473 (2018),  66–76  mathnet; J. Math. Sci. (N. Y.), 242:5 (2019), 628–635  scopus 1
2017
11. N. M. Bogolyubov, I. Ermakov, A. Rybin, “Time evolution of the atomic inversion for the generalized Tavis–Cummings model–QIM approach”, J. Phys. A, 50:46 (2017), 464003, 24 pp.  mathnet  isi  scopus 6
12. Nicolay M. Bogoliubov, Cyril Malyshev, “Zero Range Process and Multi-Dimensional Random Walks”, SIGMA, 13 (2017), 056, 14 pp.  mathnet  isi  scopus 3
13. N. Bogoliubov, C. Malyshev, “Correlation functions as nests of self-avoiding paths”, Zap. Nauchn. Sem. POMI, 465 (2017),  27–45  mathnet; J. Math. Sci. (N. Y.), 238:6 (2019), 779–792 3
14. N. Bogoliubov, “Continuous time multidimensional walks as an integrable model”, Zap. Nauchn. Sem. POMI, 465 (2017),  13–26  mathnet; J. Math. Sci. (N. Y.), 238:6 (2019), 769–778
2016
15. N. Bogoliubov, C. Malyshev, “Multi-dimensional random walks and integrable phase models”, Zap. Nauchn. Sem. POMI, 448 (2016),  48–68  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:2 (2017), 199–213  scopus 1
2015
16. N. M. Bogolyubov, K. L. Malyshev, “Integrable models and combinatorics”, Uspekhi Mat. Nauk, 70:5(425) (2015),  3–74  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 70:5 (2015), 789–856  isi  scopus 39
17. N. M. Bogoliubov, C. Malyshev, “Combinatorial aspects of correlation functions of the $XXZ$ Heisenberg chain in limiting cases”, Zap. Nauchn. Sem. POMI, 437 (2015),  15–34  mathnet  mathscinet; J. Math. Sci. (N. Y.), 216:1 (2016), 8–22  scopus
18. N. M. Bogoliubov, “Time-dependent correlation functions for a bimodal Bose–Hubbard model”, Zap. Nauchn. Sem. POMI, 433 (2015),  65–77  mathnet  mathscinet; J. Math. Sci. (N. Y.), 213:5 (2016), 662–670  scopus 6
2014
19. N. M. Bogolyubov, “Combinatorics of a strongly coupled boson system”, TMF, 181:1 (2014),  5–18  mathnet  elib; Theoret. and Math. Phys., 181:1 (2014), 1132–1144  isi  elib  scopus
20. N. M. Bogoliubov, C. Malyshev, “A combinatorial interpretation of the scalar products of state vectors of integrable models”, Zap. Nauchn. Sem. POMI, 421 (2014),  33–46  mathnet; J. Math. Sci. (N. Y.), 200:6 (2014), 662–670  scopus 2
2013
21. N. M. Bogolyubov, “Calculation of correlation functions in totally asymmetric exactly solvable models on a ring”, TMF, 175:3 (2013),  370–378  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:3 (2013), 755–762  isi  elib  scopus 3
2012
22. N. M. Bogoliubov, A. G. Pronko, J. Timonen, “Multiple-grain dissipative sandpiles”, Zap. Nauchn. Sem. POMI, 403 (2012),  5–18  mathnet  mathscinet; J. Math. Sci. (N. Y.), 190:3 (2013), 411–418  scopus 3
23. N. M. Bogoliubov, P. P. Kulish, “Exactly solvable models of quantum nonlinear optics”, Zap. Nauchn. Sem. POMI, 398 (2012),  26–54  mathnet  mathscinet; J. Math. Sci. (N. Y.), 192:1 (2013), 14–30  scopus 18
24. N. M. Bogoliubov, “Scalar products of the state vectors in the totally asymmetric exactly solvable models on a ring”, Zap. Nauchn. Sem. POMI, 398 (2012),  5–25  mathnet  mathscinet; J. Math. Sci. (N. Y.), 192:1 (2013), 1–13  scopus 3
2011
25. N. M. Bogolyubov, K. L. Malyshev, “Ising limit of a Heisenberg $XXZ$ magnet and some temperature correlation functions”, TMF, 169:2 (2011),  179–193  mathnet  mathscinet; Theoret. and Math. Phys., 169:2 (2011), 1517–1529  isi  scopus 7
2010
26. N. M. Bogoliubov, K. Malyshev, “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  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:3 (2011), 359–377  isi  scopus 16
27. N. I. Abarenkova, N. M. Bogoliubov, “Solution of the integrable model of the spinor Bose–Einstein condensate with the dipole-dipole interaction”, Zap. Nauchn. Sem. POMI, 374 (2010),  5–27  mathnet; J. Math. Sci. (N. Y.), 168:6 (2010), 759–771  scopus 1
2009
28. N. M. Bogolyubov, “Five vertex model with fixed boundary conditions”, Algebra i Analiz, 21:3 (2009),  58–78  mathnet  mathscinet  zmath; St. Petersburg Math. J., 21:3 (2010), 407–421  isi  scopus 13
29. Nikolay M. Bogolyubov, “Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model”, SIGMA, 5 (2009), 052, 11 pp.  mathnet  mathscinet  zmath  isi  scopus 16
30. N. M. Bogolyubov, K. L. Malyshev, “Correlation functions of the XX Heisenberg magnet and random walks of vicious walkers”, TMF, 159:2 (2009),  179–193  mathnet  mathscinet; Theoret. and Math. Phys., 159:2 (2009), 563–574  isi  scopus 9
2008
31. N. M. Bogolyubov, “Four-vertex model and random tilings”, TMF, 155:1 (2008),  25–38  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 155:1 (2008), 523–535  isi  scopus 23
32. N. M. Bogoliubov, “Form factors, plane partitions and random walks”, Zap. Nauchn. Sem. POMI, 360 (2008),  5–30  mathnet  zmath; J. Math. Sci. (N. Y.), 158:6 (2009), 771–786  scopus 4
2007
33. N. M. Bogolyubov, “Enumeration of plane partitions and the algebraic Bethe anzatz”, TMF, 150:2 (2007),  193–203  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 150:2 (2007), 165–174  isi  scopus 15
34. N. M. Bogolyubov, K. L. Malyshev, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 151:2 (2008), 2829–2839  scopus
35. N. M. Bogolyubov, “Four-vertex model”, Zap. Nauchn. Sem. POMI, 347 (2007),  34–55  mathnet  mathscinet; J. Math. Sci. (N. Y.), 151:2 (2008), 2816–2828  scopus 9
2006
36. N. M. Bogolyubov, “Integrable models for the vicious and friendly walkers”, Zap. Nauchn. Sem. POMI, 335 (2006),  59–74  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 143:1 (2007), 2729–2737  scopus 17
2005
37. N. M. Bogolyubov, K. L. Malyshev, “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  mathnet  mathscinet  zmath; St. Petersburg Math. J., 17:1 (2006), 63–84 2
38. N. M. Bogolyubov, “$XX0$ Heisenberg chain and random walks”, Zap. Nauchn. Sem. POMI, 325 (2005),  13–27  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 138:3 (2006), 5636–5643  scopus 33
2004
39. N. M. Bogolyubov, “Spinor Bose condensate and $\mathrm{su}(1,1)$ Richardson model”, Zap. Nauchn. Sem. POMI, 317 (2004),  43–56  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:1 (2006), 3552–3559 4
2003
40. R. K. Bullough, N. M. Bogolyubov, V. S. Kapitonov, K. L. Malyshev, I. Timonen, A. V. Rybin, G. G. Varzugin, M. Lindberg, “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  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 134:1 (2003), 47–61  isi 4
2000
41. R. K. Bullough, N. M. Bogolyubov, R. R. Puri, “Quantum integrability and quantum chaos in the micromaser”, TMF, 122:2 (2000),  182–204  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 122:2 (2000), 151–169  isi 3
42. N. M. Bogolyubov, M. B. Zvonarev, A. V. Kitaev, “Fluctuations near the boundaries in the six-vertex model”, Zap. Nauchn. Sem. POMI, 269 (2000),  136–142  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:1 (2003), 1960–1963 2
43. N. M. Bogolyubov, “Multi-particle correlation functions in the trapped Bose gas”, Zap. Nauchn. Sem. POMI, 269 (2000),  125–135  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:1 (2003), 1954–1959 4
1999
44. N. M. Bogolyubov, A. G. Izergin, A. L. Kitanin, A. G. Pronko, “The Probabilities of Survival and Hopping of States in the Phase Model on a Finite Lattice”, Trudy Mat. Inst. Steklova, 226 (1999),  36–48  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 226 (1999), 29–41 1
1998
45. N. M. Bogoliubov, “Non-Hermitian integrable models”, Zap. Nauchn. Sem. POMI, 251 (1998),  22–32  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 104:3 (2001), 1097–1104
1997
46. N. M. Bogolyubov, “Algebraic Bethe anzatz and the Tavis–Cummings model”, Zap. Nauchn. Sem. POMI, 245 (1997),  66–79  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 100:2 (2000), 2051–2060 13
1995
47. N. M. Bogoliubov, “Exact solution of a model of three bound oscillators with Stark nonlinearity”, Zap. Nauchn. Sem. POMI, 224 (1995),  122–128  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 88:2 (1998), 185–189 1
1991
48. N. M. Bogoliubov, “The logarithmic corrections in the one-dimensional Hubbard model with attraction”, Zap. Nauchn. Sem. LOMI, 189 (1991),  24–36  mathnet  mathscinet  zmath; J. Soviet Math., 62:5 (1992), 2955–2963
1990
49. N. M. Bogolyubov, V. E. Korepin, “Correlation functions of the one-dimensional Hubbard model”, TMF, 82:3 (1990),  331–348  mathnet  mathscinet; Theoret. and Math. Phys., 82:3 (1990), 231–243  isi 13
1989
50. N. M. Bogolyubov, V. E. Korepin, “The mechanism of Cooper pairing in the one-dimensional Hubbard model”, Trudy Mat. Inst. Steklov., 191 (1989),  45–54  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 191 (1992), 47–57
1987
51. N. M. Bogolyubov, A. G. Izergin, V. E. Korepin, “Critical exponents in completely integrable models of quantum statistical physics”, TMF, 70:1 (1987),  135–145  mathnet  mathscinet; Theoret. and Math. Phys., 70:1 (1987), 94–102  isi
1986
52. N. M. Bogolyubov, “Thermodynamics of a one-dimensional lattice Bose gas”, TMF, 67:3 (1986),  451–462  mathnet  mathscinet; Theoret. and Math. Phys., 67:3 (1986), 614–622  isi 1
53. N. M. Bogolyubov, V. E. Korepin, “Quantum nonlinear Schrödinger equation on a lattice”, TMF, 66:3 (1986),  455–462  mathnet  mathscinet; Theoret. and Math. Phys., 66:3 (1986), 300–305  isi 7
54. N. M. Bogolyubov, V. E. Korepin, “On complete screening in the one-dimensional Bose gas”, Zap. Nauchn. Sem. LOMI, 150 (1986),  3–6  mathnet
1985
55. N. M. Bogolyubov, V. E. Korepin, “Temperature dependence of the correlation length in a one-dimensional Bose gas”, TMF, 64:1 (1985),  92–102  mathnet  mathscinet; Theoret. and Math. Phys., 64:1 (1985), 708–715  isi 8
56. N. M. Bogolyubov, A. S. Budagov, “On the Poisson structure for the matrix Sine–Gordon equation”, Zap. Nauchn. Sem. LOMI, 146 (1985),  3–8  mathnet  mathscinet  zmath 2
1984
57. N. M. Bogolyubov, A. G. Izergin, “Lattice sine-Gordon model with local Hamiltonian”, TMF, 61:3 (1984),  364–377  mathnet  mathscinet; Theoret. and Math. Phys., 61:3 (1984), 1195–1204  isi 4
58. N. M. Bogolyubov, V. E. Korepin, “Correlation functions of one-dimensional Bose gas in thermodynamic equilibrium”, TMF, 60:2 (1984),  262–269  mathnet  mathscinet; Theoret. and Math. Phys., 60:2 (1984), 808–814  isi 9
59. N. M. Bogolyubov, A. G. Izergin, “Lattice completely integrable regularization of the sine-Gordon model for small coupling constants”, TMF, 59:2 (1984),  183–199  mathnet  mathscinet; Theoret. and Math. Phys., 59:2 (1984), 441–452  isi 4
1982
60. N. M. Bogolyubov, “On the physical sector of the lattice sine-Gordon model”, TMF, 51:3 (1982),  344–354  mathnet  mathscinet; Theoret. and Math. Phys., 51:3 (1982), 540–547  isi 9
61. 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
62. N. M. Bogoliubov, “Some results of the hightemperature expansions for the Ising model in arbitrary magnetic field”, Zap. Nauchn. Sem. LOMI, 101 (1981),  11–27  mathnet  mathscinet; J. Soviet Math., 23:4 (1983), 2379–2389
1977
63. N. M. Bogolyubov, “Convergence of Feynman diagram expansions in the Ising model”, TMF, 30:1 (1977),  138–141  mathnet  mathscinet; Theoret. and Math. Phys., 30:1 (1977), 88–90 1
1976
64. 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
2004
65. N. M. Bogolyubov, E. V. Damaskinsky, “Kulish Petr Petrovich”, Zap. Nauchn. Sem. POMI, 317 (2004),  7–10  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Correlation Functions of Heisenberg XX Chain and Enumeration of Constrained Plane Partitions
N. M. Bogolyubov, C. L. Malyshev
Mathematical and Theoretical Physics, dedicated to Ludwig Faddeev
May 31, 2024 12:00   
2. The partition function of the four-vertex model in inhomogeneous external field
N. M. Bogolyubov
International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth
September 10, 2019 13:30   
3. Correlation functions of the XX0 Heisenberg chain, q-binomial determinants, and plane partitions in a box
K. L. Malyshev, N. M. Bogolyubov
St. Petersburg Seminar on Representation Theory and Dynamical Systems
February 13, 2013 17:00

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024