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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
M. M. Rahmatullaev, B. U. Abraev, “A new class of Gibbs measures for three-state SOS model on a Cayley tree”, Chelyab. Fiz.-Mat. Zh., 9:1 (2024), 101–110  |
| 2. |
M. M. Rahmatullaev, B. M. Isakov, “Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree”, TMF, 219:3 (2024), 597–609  ; Theoret. and Math. Phys., 219:3 (2024), 1048–1059  |
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2023 |
| 3. |
F. M. Mukhamedov, M. M. Rahmatullaev, A. M. Tukhtabaev, R. Mamadjonov, “The $p$-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures”, TMF, 216:2 (2023), 383–400 ; Theoret. and Math. Phys., 216:2 (2023), 1238–1253 |
1
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| 4. |
M. M. Rahmatullaev, Zh. D. Dekhkonov, “Potts model on a Cayley tree: a new class of Gibbs measures”, TMF, 215:1 (2023), 150–162 ; Theoret. and Math. Phys., 215:1 (2023), 586–597 |
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| 5. |
M. M. Rahmatullaev, B. M. Isakov, “Ground states of Ising-Potts model on Cayley tree”, Ufimsk. Mat. Zh., 15:1 (2023), 44–55 ; Ufa Math. J., 15:1 (2023), 43–55 |
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| 6. |
M. M. Rahmatullaev, M. A. Rasulova, “Description of weakly periodic ground states for the Potts model with external field and a countable set of spin values on a Cayley tree”, Vladikavkaz. Mat. Zh., 25:4 (2023), 103–119 |
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2022 |
| 7. |
Muzaffar M. Rahmatullaev, Bunyod U. Abraev, “On ground states for the SOS model with competing interactions”, J. Sib. Fed. Univ. Math. Phys., 15:2 (2022), 162–175 |
| 8. |
M. M. Rahmatullaev, M. A. Rasulova, “Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree”, Mat. Zametki, 112:1 (2022), 106–117 ; Math. Notes, 112:1 (2022), 116–125 |
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| 9. |
Nasir N. Ganikhodzhaev, Muzaffar M. Rahmatullaev, Mahliyo R. Abdusalomova, “Phase transitions for the “uncle-nephew” model”, Nanosystems: Physics, Chemistry, Mathematics, 13:5 (2022), 498–502  |
| 10. |
F. M. Mukhamedov, M. M. Rahmatullaev, M. A. Rasulova, “Extremality of translation-invariant Gibbs measures for the $\lambda$-model on the binary Cayley tree”, TMF, 210:3 (2022), 470–484 ; Theoret. and Math. Phys., 210:3 (2022), 411–424  |
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| 11. |
U. A. Rozikov, M. M. Rahmatullaev, R. M. Khakimov, “Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree”, TMF, 210:1 (2022), 156–176 ; Theoret. and Math. Phys., 210:1 (2022), 135–153 |
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2021 |
| 12. |
M. M. Rahmatullaev, Zh. D. Dekhkonov, “Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order $k=2$”, TMF, 206:2 (2021), 210–224 ; Theoret. and Math. Phys., 206:2 (2021), 185–198 |
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| 13. |
M. M. Rahmatullaev, Zh. D. Dekhkonov, “Existence of weakly periodic Gibbs measures for the Ising model on the Cayley tree of order three”, Vladikavkaz. Mat. Zh., 23:4 (2021), 77–88 |
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2019 |
| 14. |
M. M. Rahmatullaev, O. N. Khakimov, A. M. Tukhtaboev, “A $p$-adic generalized Gibbs measure for the Ising model on a Cayley tree”, TMF, 201:1 (2019), 126–136 ; Theoret. and Math. Phys., 201:1 (2019), 1521–1530 |
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2017 |
| 15. |
U. A. Rozikov, M. M. Rakhmatullaev, “Free energies of the Potts model on a Cayley tree”, TMF, 190:1 (2017), 112–123 ; Theoret. and Math. Phys., 190:1 (2017), 98–108 |
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2016 |
| 16. |
M. M. Rahmatullaev, “On weakly periodic Gibbs measures of the Potts model with a special external field on a Cayley tree”, Zh. Mat. Fiz. Anal. Geom., 12:4 (2016), 302–314 |
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2015 |
| 17. |
M. M. Rakhmatullaev, “New weakly periodic Gibbs measures of Ising model on Cayley tree”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 11, 54–63 ; Russian Math. (Iz. VUZ), 59:11 (2015), 45–53 |
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| 18. |
M. A. Rasulova, M. M. Rahmatullaev, “Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree”, Mat. Tr., 18:2 (2015), 112–132 ; Siberian Adv. Math., 26:3 (2016), 215–229 |
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| 19. |
M. M. Rahmatullaev, “A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree”, Sibirsk. Mat. Zh., 56:5 (2015), 1163–1170 ; Siberian Math. J., 56:5 (2015), 929–935 |
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| 20. |
M. M. Rakhmatullaev, “Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree”, TMF, 183:3 (2015), 434–440 ; Theoret. and Math. Phys., 183:3 (2015), 822–828 |
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2014 |
| 21. |
M. M. Rakhmatullaev, “The existence of weakly periodic Gibbs measures for the Potts model on
a Cayley tree”, TMF, 180:3 (2014), 307–317 ; Theoret. and Math. Phys., 180:3 (2014), 1019–1029 |
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2013 |
| 22. |
M. M. Rakhmatullaev, “Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree”, TMF, 176:3 (2013), 477–493  ; Theoret. and Math. Phys., 176:3 (2013), 1236–1251 |
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2009 |
| 23. |
U. A. Rozikov, M. M. Rakhmatullaev, “Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree”, TMF, 160:3 (2009), 507–516 ; Theoret. and Math. Phys., 160:3 (2009), 1292–1300 |
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2008 |
| 24. |
U. A. Rozikov, M. M. Rakhmatullaev, “Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree”, TMF, 156:2 (2008), 292–302 ; Theoret. and Math. Phys., 156:2 (2008), 1218–1227 |
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