Khakimov Rustamjon Maxmudovich

Publications in Math-Net.Ru

1. Gibbs measures for the $\mathrm{HC}$-model in the case of a graph of type “key” on a Cayley tree
   
   Mat. Zametki, 117:4 (2025),  575–590
2. Gibbs measures for fertile models with hard-core interactions and four states
   
   TMF, 219:2 (2024),  335–351
3. Gibbs periodic measures for a two-state HC-model on a Cayley tree
   
   CMFD, 68:1 (2022),  95–109
4. Nonprobability Gibbs measures for the HC model with a countable set of spin values for a “wand”-type graph on a Cayley tree
   
   TMF, 212:3 (2022),  429–447
5. Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree
   
   TMF, 210:1 (2022),  156–176
6. Extremality of the unique translation-invariant Gibbs measure for hard-core models on the Cayley tree of order $k=3$
   
   TMF, 206:1 (2021),  112–124
7. Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model
   
   TMF, 204:2 (2020),  258–279
8. Translation-invariant Gibbs measures for the Blum–Kapel model on a Cayley tree
   
   Zh. Mat. Fiz. Anal. Geom., 15:2 (2019),  239–255
9. Translation Invariance of the periodic Gibbs measures for the Potts model on the Cayley tree
   
   TMF, 199:2 (2019),  291–301
10. Weakly periodic Gibbs measures for HC-models on Cayley trees
    
    Sibirsk. Mat. Zh., 59:1 (2018),  185–196
11. Extremality of the translation-invariant Gibbs measures for the Potts model on the Cayley tree
    
    TMF, 196:1 (2018),  117–134
12. Translation-invariant and periodic Gibbs measures for the Potts model on a Cayley tree
    
    TMF, 189:2 (2016),  286–295
13. Gibbs measures for fertile hard-core models on the Cayley tree
    
    TMF, 186:2 (2016),  340–352
14. The uniqueness of the translation-invariant Gibbs measure for four state HC-models on a Cayley tree
    
    J. Sib. Fed. Univ. Math. Phys., 8:2 (2015),  165–172
15. Translation-invariant Gibbs measures for fertile three-state “hard core” models on a Cayley tree
    
    TMF, 183:3 (2015),  441–449
16. New periodic Gibbs measures for $q$-state Potts model on a Cayley tree
    
    J. Sib. Fed. Univ. Math. Phys., 7:3 (2014),  297–304
17. Localization of translation-invariant Gibbs measures for the Potts and “solid-on-solid” models on a Cayley tree
    
    TMF, 179:1 (2014),  24–35
18. Uniqueness of Weakly Periodic Gibbs Measure for HC-Models
    
    Mat. Zametki, 94:5 (2013),  796–800
19. Periodic Gibbs measures for the Potts model on the Cayley tree
    
    TMF, 175:2 (2013),  300–312
20. The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model
    
    TMF, 173:1 (2012),  60–70