Kerimov, A.2016-02-082016-02-0820120378-4371http://hdl.handle.net/11693/21473We consider the one-dimensional ferromagnetic Ising model with very long-range interaction under a periodic, biased and weak external field and prove that at sufficiently low temperatures the model has a unique limiting Gibbs state. © 2012 Elsevier B.V. All rights reserved.EnglishGround stateGibbs stateExtreme Gibbs statePhase transitionThe one-dimensional long-range ferromagnetic Ising model with a periodic external fieldArticle10.1016/j.physa.2012.01.0021873-2119