najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2016-7-3-401-404najo-1207Research ArticleMATHEMATICSМАТЕМАТИКАFunctional equations for the Potts model with competing interactions on a Cayley treeFunctional equations for the Potts model with competing interactions on a Cayley treeBotirovG. I.BotirovG. I.botirovg@yandex.ruInstitute of Mathematics, National University of UzbekistanInstitute of Mathematics, National University of Uzbekistan20162008202573401404Copyright © Botirov G.I., 20252025Botirov G.I.Botirov G.I.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1207

In this paper, we consider an infinite system of functional equations for the Potts model with competing interactions of radius r = 2 and countable spin values 0, 1, ..., and non-zero-filled, on a Cayley tree of order two. We describe conditions on hx guaranteeing compatibility of distributions µ(n)(σn).

In this paper, we consider an infinite system of functional equations for the Potts model with competing interactions of radius r = 2 and countable spin values 0, 1, ..., and non-zero-filled, on a Cayley tree of order two. We describe conditions on hx guaranteeing compatibility of distributions µ(n)(σn).

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The authors declare that there are no conflicts of interest present.