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most citedPhase Transition in the 1d Random Field ising model with long range interaction

29 citations · 78 across the 12 of their papers we have counts for

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2 papers · 1 filter

math.PR2010★ 9 cited

Typical Gibbs configurations for the 1d Random Field Ising Model with long range interaction

Marzio Cassandro, Enza Orlandi, Pierre Picco

We study a one--dimensional Ising spin systems with ferromagnetic, long--range interaction decaying as $n^{-2+\a}$, $\a \in [0,\frac 12]$, in the presence of external random fields…

math-ph2010★ 1 cited

Study of a long range perturbation of a one-dimensional Kac model

Marzio Cassandro, Immacolata Merola, Maria Eulalia Vares

We consider a one dimensional ferromagnetic Ising spin system with interactions that correspond to a long range perturbation of the usual Kac model. We apply a coarse grain…