Mathematics

Nanosystems: physics, chemistry, mathematics
April 2025, Volume 16, Issue 2, pp 127-252

O.Sh. Karshiboev, M.M. Rahmatullaev
The phase transition for the three-state SOS model with one-level competing interactions on the binary tree 134

N.M. Khatamov, N.N. Malikov
Extremality of Gibbs measures for the DNA-Ising molecule model on the Cayley tree 142

F.H. Haydarov, R.A. Ilyasova, K.S. Mamayusupov
Pinned gradient measures of SOS model associated with HA-boundary laws on Cayley trees 154

M.M. Rakhmatullaev, N.D. Samijonova
Translation-invariant p-adic quasi Gibbs measures for the Potts model with an external field on the Cayley tree 164

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