中文

$PSL(2, \mathbb{R})^k$ 模余紧不可约格中某些幂幺流的有效均匀分布

动力系统 2018-08-03 v4

摘要

d2d \geq 2,并令 ΓPSL(2,R)d\Gamma \subset PSL(2, \mathbb{R})^d 为一个不可约的余紧格。我们证明了在 Γ\PSL(2,R)d\Gamma \backslash PSL(2, \mathbb{R})^d 上坐标环面流的均匀分布速率的一个精确估计,该估计精确到一个对数因子。

关键词

引用

@article{arxiv.1412.5353,
  title  = {Effective equidistribution for some unipotent flows in $PSL(2, \mathbb{R})^k$ mod cocompact, irreducible lattice},
  author = {James Tanis},
  journal= {arXiv preprint arXiv:1412.5353},
  year   = {2018}
}

备注

12 pages. This is part of an expanded paper titled "Exponential multiple mixing for some partially hyperbolic flows on products of $PSL(2,\mathbb{R}$)," published in DCDS - A, 2018, 38 (3) : 989-1006