论文标题
有效的等均分布，用于广义高级nilflow
Effective equidistribution for generalized higher step nilflows
论文作者
论文摘要
本文的主要结果是证明对一般较高步骤Nilmanifolds上nilflows的千古平均值的界限。在寄生的条件下，在流动的摩托频率频率下，我们证明几乎所有轨道都以多项式速度等分。我们以衰减速度分析了指数，这取决于一般的nilpotent Lie代数的步骤和结构。主要的结果是从无法可选表示中控制缩放运算符的技术以及对Nilmanifolds一般返回轨道上的估算的估算。
The main results of this paper are to prove bounds for ergodic averages for nilflows on general higher step nilmanifolds. Under Diophantine condition on the frequency of a toral projection of the flow, we prove that almost all orbits become equidistributed at the polynomial speed. We analyze the exponent with the speed of decay which is determined by the number of steps and structure of general nilpotent Lie algebras. The main result follows from the technique over controlling scaling operators in irreducible representations and measure estimation on close return orbit on general nilmanifolds.
