33 citations · 182 across the 46 of their papers we have counts for
6 papers · 1 filter
Nucleation and growth of lattice crystals
Andrea Braides, Giovanni Scilla, Antonio Tribuzio
A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete leve…
Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches
Roberto Alicandro, Andrea Braides, Marco Cicalese +2
We describe the emergence of topological singularities in periodic media within the Ginzburg-Landau model and the core-radius approach. The energy functionals of both models are de…
Two geometric lemmas for -valued maps and an application to the homogenization of spin systems
Andrea Braides, Valerio Vallocchia
We prove two geometric lemmas for -valued functions that allow to modify sequences of lattice spin functions on a small percentage of nodes during a discrete-to-continuum…
An extension theorem from connected sets and homogenization of non-local functionals
Andrea Braides, Valeria Chiadò Piat, Lorenza D'Elia
We study the asymptotic behaviour of convolution-type functionals defined on general periodic domains by proving an extension theorem
A variational theory of convolution-type functionals
Roberto Alicandro, Nadia Ansini, Andrea Braides +2
We provide a general treatment of perturbations of a class of functionals modeled on convolution energies with integrable kernel which approximate the -th norm of the gradient a…
Homogenization of ferromagnetic energies on Poisson random sets in the plane
Andrea Braides, Andrey Piatnitski
We prove that by scaling nearest-neighbour ferromagnetic energies defined on Poisson random sets in the plane we obtain an isotropic perimeter energy with a surface tension charact…