{ "id": "1803.00769", "version": "v1", "published": "2018-03-02T09:19:25.000Z", "updated": "2018-03-02T09:19:25.000Z", "title": "Ground states for Potts model with a countable set of spin values on a Cayley tree", "authors": [ "G. I. Botirov", "M. M. Rahmatullaev" ], "categories": [ "math-ph", "math.MP" ], "abstract": "We consider Potts model, with competing interactions and countable spin values $\\Phi=\\{0,1,\\dots \\}$ on a Cayley tree of order three. We study periodic ground states for this model.", "revisions": [ { "version": "v1", "updated": "2018-03-02T09:19:25.000Z" } ], "analyses": { "keywords": [ "cayley tree", "potts model", "countable set", "study periodic ground states", "countable spin values" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }