Khakimov, R. M.; Makhammadaliev, M. T.; Haydarov, F. H. New class of Gibbs measures for two-state hard-core model on a Cayley tree. (English) Zbl 07788068 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 4, Article ID 2350024, 28 p. (2023). MSC: 82B26 60K35 82B20 05C05 PDFBibTeX XMLCite \textit{R. M. Khakimov} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 4, Article ID 2350024, 28 p. (2023; Zbl 07788068) Full Text: DOI arXiv
Khatamov, N. M. Periodic Gibbs measures and their extremes for the HC-Blume-Capel model in the case of a “wand” on the Cayley tree. (English) Zbl 1505.82015 Lobachevskii J. Math. 43, No. 9, 2515-2524 (2022). MSC: 82B20 82B26 82B27 82B23 05C05 PDFBibTeX XMLCite \textit{N. M. Khatamov}, Lobachevskii J. Math. 43, No. 9, 2515--2524 (2022; Zbl 1505.82015) Full Text: DOI
Khatamov, Nosir Muĭdinovich Extremality of some Gibbs measures for the Blume-Capel HC-model on a Cayley tree. (Russian. English summary) Zbl 1509.82010 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 32, No. 2, 256-277 (2022). MSC: 82B05 82B20 82B26 82B27 60K35 05C05 PDFBibTeX XMLCite \textit{N. M. Khatamov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 32, No. 2, 256--277 (2022; Zbl 1509.82010) Full Text: DOI MNR
Khatamov, N. M. Extremality of Gibbs measures for the \(HC\)-Blume-Capel model on the Cayley tree. (English. Russian original) Zbl 1494.82007 Math. Notes 111, No. 5, 768-781 (2022); translation from Mat. Zametki 111, No. 5, 762-777 (2022). MSC: 82B20 82B26 82B27 05C05 PDFBibTeX XMLCite \textit{N. M. Khatamov}, Math. Notes 111, No. 5, 768--781 (2022; Zbl 1494.82007); translation from Mat. Zametki 111, No. 5, 762--777 (2022) Full Text: DOI
Khakimov, R. M.; Umirzakova, K. O. Extremality of the unique translation-invariant Gibbs measure for hard-core models on the Cayley tree of order \(k=3\). (English. Russian original) Zbl 1467.82017 Theor. Math. Phys. 206, No. 1, 97-108 (2021); translation from Teor. Mat. Fiz. 206, No. 1, 112-124 (2021). MSC: 82B20 05C05 PDFBibTeX XMLCite \textit{R. M. Khakimov} and \textit{K. O. Umirzakova}, Theor. Math. Phys. 206, No. 1, 97--108 (2021; Zbl 1467.82017); translation from Teor. Mat. Fiz. 206, No. 1, 112--124 (2021) Full Text: DOI
Khakimov, R. M.; Makhammadaliev, M. T. Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model. (English. Russian original) Zbl 1454.82015 Theor. Math. Phys. 204, No. 2, 1059-1078 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 258-279 (2020). MSC: 82B30 82B20 05C05 PDFBibTeX XMLCite \textit{R. M. Khakimov} and \textit{M. T. Makhammadaliev}, Theor. Math. Phys. 204, No. 2, 1059--1078 (2020; Zbl 1454.82015); translation from Teor. Mat. Fiz. 204, No. 2, 258--279 (2020) Full Text: DOI
Khatamov, N. M. Translation-invariant extreme Gibbs measures for the Blume-Capel model withwand on a Cayley tree. (English. Russian original) Zbl 1451.82036 Ukr. Math. J. 72, No. 4, 623-641 (2020); translation from Ukr. Mat. Zh. 72, No. 4, 540-556 (2020). MSC: 82C20 82C27 05C05 PDFBibTeX XMLCite \textit{N. M. Khatamov}, Ukr. Math. J. 72, No. 4, 623--641 (2020; Zbl 1451.82036); translation from Ukr. Mat. Zh. 72, No. 4, 540--556 (2020) Full Text: DOI
Khakimov, R. M. Weakly periodic Gibbs measures for HC-models on Cayley trees. (English. Russian original) Zbl 1397.82016 Sib. Math. J. 59, No. 1, 147-156 (2018); translation from Sib. Mat. Zh. 59, No. 1, 185-196 (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 05C05 82B26 82B27 PDFBibTeX XMLCite \textit{R. M. Khakimov}, Sib. Math. J. 59, No. 1, 147--156 (2018; Zbl 1397.82016); translation from Sib. Mat. Zh. 59, No. 1, 185--196 (2018) Full Text: DOI