Mallak, Saed2016-01-082016-01-082000http://hdl.handle.net/11693/18579Ankara : Department of Mathematics and the Institute of Engineering and Sciences of Bilkent University, 2000.Thesis (Ph.D.) -- Bilkent University, 2000.Includes bibliographical references leaves 63-64In this thesis we study the problem of limit Gibbs measures in one-dimensional models. VVe investigate uniqueness conditions for the limit Gibbs measures for one-dimensional models. VVe construct a one-dimensional model disproving a uniqueness conjecture formulated before for one-dimensional models. It turns out that this conjecture is correct under some natural regularity conditions. VVe also apply the uniqueness theorem to some one-dimensional models.viii, 65 leavesEnglishinfo:eu-repo/semantics/openAccessHamiltonianGibbs StateExtreme Gibbs StateGround StatePhase TransitionMarkov ChainOne-Dimensional ContourQC20.7.P7 M35 2000Measure theory.Thesis