We provide a general framework for the design of surface energies on lattices. We prove sharp bounds for the homogenization of discrete systems describing mixtures of ferromagnetic interactions by constructing optimal microgeometries, and we prove a localization principle which allows to reduce to the periodic setting in the general nonperiodic case
We prove that by scaling nearest-neighbour ferromagnetic energies defined on Poisson random sets in ...
In this paper we describe the asymptotic behavior of rigid spin lattice energies by exhibiting a con...
A homogenization theorem is proved for energies which follow the geometry of an a-periodic Penrose t...
We provide a general framework for the design of surface energies on lattices. We prove sharp bounds...
We study the homogenization of lattice energies related to Ising systems of the form E-epsilon(u) = ...
We give optimal bounds for the homogenization of mixtures of two types of ferromagnetic interactions...
We study the homogenized energy densities of periodic ferromagnetic Ising systems. We prove that, fo...
In this paper we give optimal bounds for the homogenization of periodic Ising systems of the form ∑ ...
In this paper we prove a homogenization theorem for interfacial discrete energies defined on an a-pe...
We prove that by scaling nearest-neighbour ferromagnetic energies defined on Poisson random sets in ...
In this paper we describe the asymptotic behavior of rigid spin lattice energies by exhibiting a con...
A homogenization theorem is proved for energies which follow the geometry of an a-periodic Penrose t...
We provide a general framework for the design of surface energies on lattices. We prove sharp bounds...
We study the homogenization of lattice energies related to Ising systems of the form E-epsilon(u) = ...
We give optimal bounds for the homogenization of mixtures of two types of ferromagnetic interactions...
We study the homogenized energy densities of periodic ferromagnetic Ising systems. We prove that, fo...
In this paper we give optimal bounds for the homogenization of periodic Ising systems of the form ∑ ...
In this paper we prove a homogenization theorem for interfacial discrete energies defined on an a-pe...
We prove that by scaling nearest-neighbour ferromagnetic energies defined on Poisson random sets in ...
In this paper we describe the asymptotic behavior of rigid spin lattice energies by exhibiting a con...
A homogenization theorem is proved for energies which follow the geometry of an a-periodic Penrose t...
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