Jean-Dominique Deuschel

We consider a gradient Gibbs measure with non convex potential and show that it behaves at high temperature like a gaussian free field. The proof is based on the fact that the marginal distribution of the even sites has a strictly convex Hamiltonian...

We consider an i.i.d. balanced environment omega(x,e)=omega(x,-e), genuinely d dimensional on the lattice and show that there exist a positive constant C and a random radius R(omega) with streched exponential tail such that every non negative omega...