29 citations · 92 across the 10 of their papers we have counts for
10 papers
Phase separation for the long range one--dimensional ising model
Marzio Cassandro, Immacolata Merola, Pierre Picco
We consider the phase separation problem for the one--dimensional ferromagnetic Ising model with long--range two--body interaction, $J(n)=n^{-2+\a}$ where denotes the dis…
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…
Phase Transition in the 1d Random Field ising model with long range interaction
Marzio Cassandro, Enza Orlandi, Pierre Picco
We study the one dimensional Ising model with ferromagnetic, long range interaction which decays as |i-j|^{-2+a}, 1/2< a<1, in the presence of an external random filed. we assume t…
One-dimensional random field Kac's model: weak large deviations principle
Enza Orlandi, Pierre Picco
We prove a quenched weak large deviations principle for the Gibbs measures of a Random Field Kac Model (RFKM) in one dimension. The external random magnetic field is given by symme…
Correction note. Typical configuration for one-dimensional random field Kac model
Marzio Cassandro, Enza Orlandi, Pierre Picco
Estimate (3.39) which appears in the proof of Proposition 3.4 in [Ann. Probab. 27 (1999) 1414--1467, doi:10.1214/aop/1022677454] is wrong. We present below a corrected proof which…
A representation of Gibbs measure for the random energy model
Marie F. Kratz, Pierre Picco
In this work we consider a problem related to the equilibrium statistical mechanics of spin glasses, namely the study of the Gibbs measure of the random energy model. For solving t…