Malyshev, C.; Bogoliubov, N. M. Spin correlation functions, Ramus-like identities, and enumeration of constrained lattice walks and plane partitions. (English) Zbl 1506.82015 J. Phys. A, Math. Theor. 55, No. 22, Article ID 225002, 37 p. (2022). MSC: 82B41 05E05 PDFBibTeX XMLCite \textit{C. Malyshev} and \textit{N. M. Bogoliubov}, J. Phys. A, Math. Theor. 55, No. 22, Article ID 225002, 37 p. (2022; Zbl 1506.82015) Full Text: DOI arXiv
Bogoliubov, Nikolay; Malyshev, Cyril How to draw a correlation function. (English) Zbl 1479.05028 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 106, 35 p. (2021). MSC: 05A19 05E05 82B23 82B10 PDFBibTeX XMLCite \textit{N. Bogoliubov} and \textit{C. Malyshev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 106, 35 p. (2021; Zbl 1479.05028) Full Text: DOI arXiv
Bogoliubov, N.; Malyshev, C. The asymptotics of plane partitions with fixed volumes of diagonal parts. (English) Zbl 1471.05006 J. Math. Sci., New York 257, No. 4, 469-475 (2021) and Zap. Nauchn. Semin. POMI 487, 68-77 (2019). MSC: 05A15 05A18 05A17 82B20 PDFBibTeX XMLCite \textit{N. Bogoliubov} and \textit{C. Malyshev}, J. Math. Sci., New York 257, No. 4, 469--475 (2021; Zbl 1471.05006) Full Text: DOI
Bogoliubov, N.; Malyshev, C. Multi-dimensional random walks and integrable phase models. (English) Zbl 1376.82087 J. Math. Sci., New York 224, No. 2, 199-213 (2017) and Zap. Nauchn. Semin. POMI 448, 48-68 (2016). MSC: 82C41 82C20 82C23 81S25 PDFBibTeX XMLCite \textit{N. Bogoliubov} and \textit{C. Malyshev}, J. Math. Sci., New York 224, No. 2, 199--213 (2017; Zbl 1376.82087) Full Text: DOI
Bogoliubov, N. M.; Malyshev, C. Combinatorial aspects of correlation functions of the XXZ Heisenberg chain in limiting cases. (English. Russian original) Zbl 1344.82020 J. Math. Sci., New York 216, No. 1, 8-22 (2016) and Zap. Nauchn. Semin. POMI 437, 15-34 (2015). MSC: 82B20 82B41 82B23 05A16 PDFBibTeX XMLCite \textit{N. M. Bogoliubov} and \textit{C. Malyshev}, J. Math. Sci., New York 216, No. 1, 8--22 (2016; Zbl 1344.82020) Full Text: DOI
Bogoliubov, N. M.; Pronko, A. G.; Timonen, J. Multiple-grain dissipative sandpiles. (English) Zbl 1274.82040 J. Math. Sci., New York 190, No. 3, 411-418 (2013) and in Zap. Nauchn. Semin. POMI 403, 5-18 (2012). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82C27 82C20 PDFBibTeX XMLCite \textit{N. M. Bogoliubov} et al., J. Math. Sci., New York 190, No. 3, 411--418 (2013; Zbl 1274.82040) Full Text: DOI
Bogoliubov, Nikolay; Timonen, Jussi Correlation functions for a strongly coupled boson system and plane partitions. (English) Zbl 1219.82055 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1939, 1319-1333 (2011). MSC: 82B20 82B10 05A18 81T27 PDFBibTeX XMLCite \textit{N. Bogoliubov} and \textit{J. Timonen}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1939, 1319--1333 (2011; Zbl 1219.82055) Full Text: DOI
Bogoliubov, N. M. Form factors, plane partitions, and random walks. (English. Russian original) Zbl 1177.05015 J. Math. Sci., New York 158, No. 6, 771-786 (2009); translation from Zap. Nauchn. Semin. POMI 360, 5-30 (2008). MSC: 05A17 05E10 05C81 82B41 82C41 PDFBibTeX XMLCite \textit{N. M. Bogoliubov}, J. Math. Sci., New York 158, No. 6, 771--786 (2009; Zbl 1177.05015); translation from Zap. Nauchn. Semin. POMI 360, 5--30 (2008) Full Text: DOI
Bogoliubov, N. M. Four-vertex model. (English. Russian original) Zbl 1288.05037 J. Math. Sci., New York 151, No. 2, 2816-2828 (2008); translation from Zap. Nauchn. Semin. POMI 347, 34-55 (2007). MSC: 05B40 52C15 PDFBibTeX XMLCite \textit{N. M. Bogoliubov}, J. Math. Sci., New York 151, No. 2, 2816--2828 (2008; Zbl 1288.05037); translation from Zap. Nauchn. Semin. POMI 347, 34--55 (2007) Full Text: DOI
Bogoliubov, N. M. Four-vertex model and random tilings. (English. Russian original) Zbl 1155.81337 Theor. Math. Phys. 155, No. 1, 523-535 (2008); translation from Teor. Mat. Fiz. 155, No. 1, 25-38 (2008). MSC: 81R12 PDFBibTeX XMLCite \textit{N. M. Bogoliubov}, Theor. Math. Phys. 155, No. 1, 523--535 (2008; Zbl 1155.81337); translation from Teor. Mat. Fiz. 155, No. 1, 25--38 (2008) Full Text: DOI arXiv
Bogoliubov, N. M. Enumeration of plane partitions and the algebraic Bethe ansatz. (English. Russian original) Zbl 1127.82016 Theor. Math. Phys. 150, No. 2, 165-174 (2007); translation from Teor. Mat. Fiz. 150, No. 2, 193-203 (2007). MSC: 82B23 05A18 PDFBibTeX XMLCite \textit{N. M. Bogoliubov}, Theor. Math. Phys. 150, No. 2, 165--174 (2007; Zbl 1127.82016); translation from Teor. Mat. Fiz. 150, No. 2, 193--203 (2007) Full Text: DOI