Add to ORKGIn this paper we describe the asymptotic behavior of rigid spin lattice energies by exhibiting a continuous interfacial limit energy as scaling to zero the lattice spacing. The limit is not trivial below a percolation threshold: it can be characterized by two phases separated by an interface. The macroscopic surface tension at this interface is defined through a first-passage percolation formula, related to the chemical distance on the lattice Z^2. We also show a continuity result, that is the homogenization of rigid spin system is a limit case of the elliptic random homogenization
ABSTRACT. We review some of the recent progress on the scaling limit of two-dimensional critical per...
We provide a general framework for the design of surface energies on lattices. We prove sharp bounds...
The surface tension for arbitrary spin systems is introduced and its general properties are studied....
In this paper we describe the asymptotic behavior of rigid spin lattice energies by exhibiting a con...
We study the asymptotic behavior of dilute spin lattice energies by exhibiting a continuous interfac...
We study the homogenization of lattice energies related to Ising systems of the form E-epsilon(u) = ...
We study the discrete-to-continuum limit of ferromagnetic spin systems when the lattice spacing tend...
The square lattice with central forces between nearest neighbors is isostatic with a subextensive nu...
Abstract. We study by Γ-convergence the stochastic homogenization of dis-crete energies on a class o...
We prove that by scaling nearest-neighbour ferromagnetic energies defined on Poisson random sets in ...
We study conditioned random-cluster measures with edge-parameter p and cluster-weighting factor q sa...
A rigorous proof of the existence of a percolation phase transition in a system of noninteracting di...
ABSTRACT. We review some of the recent progress on the scaling limit of two-dimensional critical per...
We provide a general framework for the design of surface energies on lattices. We prove sharp bounds...
The surface tension for arbitrary spin systems is introduced and its general properties are studied....
In this paper we describe the asymptotic behavior of rigid spin lattice energies by exhibiting a con...
We study the asymptotic behavior of dilute spin lattice energies by exhibiting a continuous interfac...
We study the homogenization of lattice energies related to Ising systems of the form E-epsilon(u) = ...
We study the discrete-to-continuum limit of ferromagnetic spin systems when the lattice spacing tend...
The square lattice with central forces between nearest neighbors is isostatic with a subextensive nu...
Abstract. We study by Γ-convergence the stochastic homogenization of dis-crete energies on a class o...
We prove that by scaling nearest-neighbour ferromagnetic energies defined on Poisson random sets in ...
We study conditioned random-cluster measures with edge-parameter p and cluster-weighting factor q sa...
A rigorous proof of the existence of a percolation phase transition in a system of noninteracting di...
ABSTRACT. We review some of the recent progress on the scaling limit of two-dimensional critical per...
We provide a general framework for the design of surface energies on lattices. We prove sharp bounds...
The surface tension for arbitrary spin systems is introduced and its general properties are studied....