论文标题
避免原则和玛格利斯的功能，用于扩展单位轨道的翻译
An avoidance principle and Margulis functions for expanding translates of unipotent orbits
论文作者
论文摘要
我们证明了一种避免原则，用于扩大某些半精密均匀空间的一能轨道翻译。此外，我们证明了封闭轨道的定量隔离结果，并在封闭体积的闭合轨道数量上给出了上限。我们结果的证据依赖于Margulis函数的构建以及半圣母谎言群体的有限维度的理论。
We prove an avoidance principle for expanding translates of unipotent orbits for some semisimple homogeneous spaces. In addition, we prove a quantitative isolation result of closed orbits and give an upper bound on the number of closed orbits of bounded volume. The proofs of our results rely on the construction of a Margulis function and the theory of finite dimensional representations of semisimple Lie groups.
