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Phase Transitions in Ising models: the Semi-infinite with decaying field and the Random Field Long-range

Phase Transitions in Ising models: the Semi-infinite with decaying field and the Random Field Long-range

In this thesis, we present results on phase transition for two models: the semi-infinite Ising model with a decaying field, and the long-range Ising model with a random field. We study the semi-infinite Ising model with an external field $h_i = \lambda |i_d|^{-\delta}$, $\lambda$ is the wall influence, and $\delta>0$. …