Rahmatullaev Muzaffar Muhammadjanovich

Publications in Math-Net.Ru

1. Free energy and entropy for the constructive Gibbs measures of the Ising model on the Cayley tree of order three
   
   Nanosystems: Physics, Chemistry, Mathematics, 16:3 (2025),  261–273
2. Translation-invariant $p$-adic quasi Gibbs measures for the Potts model with an external field on the Cayley tree
   
   Nanosystems: Physics, Chemistry, Mathematics, 16:2 (2025),  164–175
3. The phase transition for the three-state SOS model with one-level competing interactions on the binary tree
   
   Nanosystems: Physics, Chemistry, Mathematics, 16:2 (2025),  134–141
4. A new class of Gibbs measures for three-state SOS model on a Cayley tree
   
   Chelyab. Fiz.-Mat. Zh., 9:1 (2024),  101–110
5. Translation-invariant Gibbs measures for the mixed spin-$1/2$ and spin-$1$ Ising model with an external field on a Cayley tree
   
   Nanosystems: Physics, Chemistry, Mathematics, 15:5 (2024),  576–585
6. Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree
   
   TMF, 219:3 (2024),  597–609
7. The $p$-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures
   
   TMF, 216:2 (2023),  383–400
8. Potts model on a Cayley tree: a new class of Gibbs measures
   
   TMF, 215:1 (2023),  150–162
9. Ground states of Ising-Potts model on Cayley tree
   
   Ufimsk. Mat. Zh., 15:1 (2023),  44–55
10. 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
11. On ground states for the SOS model with competing interactions
    
    J. Sib. Fed. Univ. Math. Phys., 15:2 (2022),  162–175
12. 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
13. Phase transitions for the “uncle-nephew” model
    
    Nanosystems: Physics, Chemistry, Mathematics, 13:5 (2022),  498–502
14. Extremality of translation-invariant Gibbs measures for the $\lambda$-model on the binary Cayley tree
    
    TMF, 210:3 (2022),  470–484
15. Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree
    
    TMF, 210:1 (2022),  156–176
16. Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order $k=2$
    
    TMF, 206:2 (2021),  210–224
17. 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
18. A $p$-adic generalized Gibbs measure for the Ising model on a Cayley tree
    
    TMF, 201:1 (2019),  126–136
19. Free energies of the Potts model on a Cayley tree
    
    TMF, 190:1 (2017),  112–123
20. 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
21. New weakly periodic Gibbs measures of Ising model on Cayley tree
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 11,  54–63
22. Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree
    
    Mat. Tr., 18:2 (2015),  112–132
23. A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree
    
    Sibirsk. Mat. Zh., 56:5 (2015),  1163–1170
24. Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree
    
    TMF, 183:3 (2015),  434–440
25. The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree
    
    TMF, 180:3 (2014),  307–317
26. Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree
    
    TMF, 176:3 (2013),  477–493
27. Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
    
    TMF, 160:3 (2009),  507–516
28. Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree
    
    TMF, 156:2 (2008),  292–302