@article{Rahmatullaev_Rafikov_Azamov_2021, title={On constructive description of Gibbs measures for the Potts model on a Cayley tree}, volume={73}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6408}, DOI={10.37863/umzh.v73i7.6408}, abstractNote={<p>UDC 517.9</p> <p>We consider the Potts model on a Cayley tree and prove the existence of Gibbs measures built by using the method suggested in [H. Akin, U. A. Rozikov, S. Temir, <em>A new set of limiting Gibbs measures for the Ising model on a Cayley tree,</em> J. Stat. Phys., <strong>142</strong>, № 2, 314 – 321 (2011)]. In addition, we prove that there exist $(k_0)$-translation invariant Gibbs measures for the Potts model on a Cayley tree and calculate the free energy of these Gibbs measures.</p&gt;}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Rahmatullaev, M. and Rafikov F. К. and Azamov , Sh. Kh.}, year={2021}, month={Jul.}, pages={938 - 950} }