In this paper we prove a homogenization theorem for interfacial discrete energies defined on an a-periodic Penrose tiling in two dimensions. A general result on the homogenization of surface energies cannot be directly adapted to this case; the existence of the limit interfacial energy is therefore proved by showing some refined "quasi-periodic" properties of the tilings
International audienceWe adapt two-scale convergence to the homogenization of photonic quasi-periodi...
In this paper we describe the asymptotic behavior of rigid spin lattice energies by exhibiting a con...
We prove that by scaling nearest-neighbour ferromagnetic energies defined on Poisson random sets in ...
In this paper we prove a homogenization theorem for interfacial discrete energies defined on an a-pe...
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...
International audienceWe consider the homogenization of a periodic interfacial energy, such as consi...
An energy for first-order structured deformations in the context of periodic homogenization is obtai...
We consider nearest-neighbour ferromagnetic energies defined on a quasicrystal modeled following the...
We study the homogenization of lattice energies related to Ising systems of the form E-epsilon(u) = ...
In this paper we construct and analyze a two-well Hamiltonian on a 2D atomic lattice. The two wells ...
We study the homogenized energy densities of periodic ferromagnetic Ising systems. We prove that, fo...
International audienceWe adapt two-scale convergence to the homogenization of photonic quasi-periodi...
In this paper we describe the asymptotic behavior of rigid spin lattice energies by exhibiting a con...
We prove that by scaling nearest-neighbour ferromagnetic energies defined on Poisson random sets in ...
In this paper we prove a homogenization theorem for interfacial discrete energies defined on an a-pe...
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...
International audienceWe consider the homogenization of a periodic interfacial energy, such as consi...
An energy for first-order structured deformations in the context of periodic homogenization is obtai...
We consider nearest-neighbour ferromagnetic energies defined on a quasicrystal modeled following the...
We study the homogenization of lattice energies related to Ising systems of the form E-epsilon(u) = ...
In this paper we construct and analyze a two-well Hamiltonian on a 2D atomic lattice. The two wells ...
We study the homogenized energy densities of periodic ferromagnetic Ising systems. We prove that, fo...
International audienceWe adapt two-scale convergence to the homogenization of photonic quasi-periodi...
In this paper we describe the asymptotic behavior of rigid spin lattice energies by exhibiting a con...
We prove that by scaling nearest-neighbour ferromagnetic energies defined on Poisson random sets in ...
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