Kerimov, A.2016-02-082016-02-0820090217-9792http://hdl.handle.net/11693/22491We consider the one-dimensional ferromagnetic Ising model with very long range interaction under weak and sparse biased external field and prove that at sufficiently low temperatures, the model has a unique limiting Gibbs state. © 2009 World Scientific Publishing Company.EnglishExtreme Gibbs stateGibbs stateGround statePhase transitionOne-dimensional long-range ferromagnetic ising model under weak and sparse external fieldArticle10.1142/S0217979209053291