Two geometric lemmas for $S^{N-1}$-valued maps and an application to the homogenization of spin systems
Analysis of PDEs
2020-10-28 v1 Probability
Abstract
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 process so as to have a fixed average. This is used to simplify known formulas for the homogenization of spin systems.
Keywords
Cite
@article{arxiv.2010.14280,
title = {Two geometric lemmas for $S^{N-1}$-valued maps and an application to the homogenization of spin systems},
author = {Andrea Braides and Valerio Vallocchia},
journal= {arXiv preprint arXiv:2010.14280},
year = {2020}
}