论文标题
$ s^{n-1} $的两个几何引理 - 有价值的地图和旋转系统均质化的应用
Two geometric lemmas for $S^{N-1}$-valued maps and an application to the homogenization of spin systems
论文作者
论文摘要
我们证明了$ s^{n-1} $的两个几何引理 - 允许在离散到核的过程中修改少量节点上的晶格旋转函数序列，以便具有固定的平均值。这用于简化自旋系统均质化的已知公式。
We prove two geometric lemmas for $S^{N-1}$-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.
