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Vol 16, No 2 (2025) The phase transition for the three-state SOS model with one-level competing interactions on the binary tree Abstract  PDF (Eng)  similar documents
O. Sh. Karshiboev, M. M. Rahmatullaev
"... interactions (nearest-neighbor, one-level next-nearest-neighbor) on the Cayley tree of order two. We show ..."
 
Vol 15, No 5 (2024) Translation-invariant Gibbs measures for the mixed spin-1/2 and spin-1 Ising model with an external field on a Cayley tree Abstract  PDF (Eng)  similar documents
Muzaffar M. Rahmatullaev, Dilshod O. Egamov
"... field on the general order Cayley tree are investigated within the framework of the tree-indexed Markov ..."
 
Vol 16, No 3 (2025) Free energy and entropy for the constructive Gibbs measures of the Ising model on the Cayley tree of order three Abstract  PDF (Eng)  similar documents
M. M. Rahmatullaev, Z. A. Burxonova
"... model on a third-order Cayley tree, which differ from known ones. We provide the conditions ..."
 
Vol 16, No 2 (2025) Extremality of Gibbs measures for the DNA-Ising molecule model on the Cayley tree Abstract  PDF (Eng)  similar documents
N. M. Khatamov, N. N. Malikov
"... We examine a model of a DNA-Ising molecule on a Cayley tree of order k ≥ 2. For this model, we ..."
 
Vol 15, No 1 (2024) On solutions to nonlinear integral equation of the Hammerstein type and its applications to Gibbs measures for continuous spin systems Abstract  PDF (Eng)  similar documents
I. M. Mavlonov, A. M. Sattarov, S. A. Karimova, F. H. Haydarov
 
Vol 13, No 5 (2022) Phase transitions for the "uncle-nephew" model Abstract  PDF (Eng)  similar documents
N. N. Ganikhodjaev, M. M. Rahmatullaev, M. R. Abdusalomova
"... on the semi-infinite Cayley tree of second order. It is proved that one can reach the phase transition ..."
 
Vol 16, No 2 (2025) Translation-invariant p-adic quasi Gibbs measures for the Potts model with an external field on the Cayley tree Abstract  PDF (Eng)  similar documents
M. M. Rakhmatullaev, N. D. Samijonova
"... measures on a Cayley tree of order k ≥ 2. Furthermore, we prove that if |q|p = 1 there exists a unique p ..."
 
Vol 16, No 2 (2025) Pinned gradient measures of SOS model associated with HA-boundary laws on Cayley trees Abstract  PDF (Eng)  similar documents
F. H. Haydarov, R. A. Ilyasova, K. S. Mamayusupov
 
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