论文标题
部分可观测时空混沌系统的无模型预测
Polynomial conditions and homology of FI-modules
论文作者
论文摘要
我们确定了文献中FI模块的两个递归定义的多项式条件。我们使用FI模型的同源性不变（即局部程度和规律性，以及稳定的程度）来表征这些条件，并阐明它们的关系。对于这些条件之一，我们为对称组提供了改进的扭曲同源稳定性范围。作为另一个应用程序，我们改善了代表稳定性在适当的线性组的作用中的一致性亚组的范围在其斜率中提高了2倍。
We identify two recursively defined polynomial conditions for FI-modules in the literature. We characterize these conditions using homological invariants of FI-modules (namely the local degree and regularity, together with the stable degree) and clarify their relationship. For one of these conditions, we give improved twisted homological stability ranges for the symmetric groups. As another application, we improve the representation stability ranges for congruence subgroups with respect to the action of an appropriate linear group by a factor of 2 in its slope.
