2 papers
math.AP2020
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…
math.AP2016
Static, quasistatic and dynamic analysis for scaled Perona-Malik functionals
Andrea Braides, Valerio Vallocchia
We present an asymptotic description of local minimization problems, and of quasi-static and dynamic evolutions of scaled Perona-Malik functionals. The scaling is chosen such that…