U. Rozikov

activity

20242026

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math-ph2024

Extreme Gibbs measures for a Hard-Core-SOS model on Cayley trees

R. M. Khakimov, M. T. Makhammadaliev, U. A. Rozikov

We investigate splitting Gibbs measures (SGMs) of a three-state (wand-graph) hardcore SOS model on Cayley trees of order $k \geq 2$ . Recently, this model was studied for the hing…

math-ph2024

Three-state $p$ -SOS models on binary Cayley trees

Benedikt Jahnel, Utkir Rozikov

We consider a version of the solid-on-solid model on the Cayley tree of order two in which vertices carry spins of value $0, 1$ or $2$ and the pairwise interaction of neighboring ve…

Extreme Gibbs measures for a Hard-Core-SOS model on Cayley trees

Three-state p-SOS models on binary Cayley trees

Three-state $p$ -SOS models on binary Cayley trees