Kerimov, Azer2021-02-112021-02-1120200022-2488http://hdl.handle.net/11693/55067One-dimensional long-range Ising models with antiferromagnetic, convex pair interactions are investigated. A new criterion characterizing ground states is given. The criterion and a new transformation yield short proofs identifying and characterizing the ground states. The uniqueness of periodic ground states up to shifts is shown.EnglishArticle10.1063/5.0001423