论文标题
某个一个参数单位流的有效等级
Effective equidistribution for some one parameter unipotent flows
论文作者
论文摘要
我们证明，对于$ \ operatatorName {sl} _2（slbb c）$ _2（\ mathbb c）$ _2（\ nathbb c）$ _ Mathbb c c）$ \ operatornmetients $ \ propatatorName {sl} _2（\ m ratebb c c）$ _和operatearnem和mathame operatement operatem {_2（\ mathbb c）$和operatearnem和m operatearne operemial rybits的有效等式定理的多项式错误率和多项式错误率。 r）\ times \ operatorname {sl} _2（\ mathbb r）$。 证明是基于使用Margulis功能，发病率几何形状的工具以及环境空间的光谱间隙。
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of $\operatorname{SL}_2(\mathbb R)$ in arithmetic quotients of $\operatorname{SL}_2(\mathbb C)$ and $\operatorname{SL}_2(\mathbb R)\times\operatorname{SL}_2(\mathbb R)$. The proof is based on the use of a Margulis function, tools from incidence geometry, and the spectral gap of the ambient space.
