English

Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$

Dynamical Systems 2024-09-20 v6 Number Theory

Abstract

In this paper, we will prove an effective version of Ratner's equidistribution theorem for unipotent orbits in SL(3,R)/SL(3,Z)\mathrm{SL}(3,\mathbb{R})/\mathrm{SL}(3,\mathbb{Z}) with a natural Diophantine condition.

Keywords

Cite

@article{arxiv.2208.02525,
  title  = {Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$},
  author = {Lei Yang},
  journal= {arXiv preprint arXiv:2208.02525},
  year   = {2024}
}

Comments

63 pages. Added more details and explanations. Section 5 in the previous version was divided into several sections

R2 v1 2026-06-25T01:28:20.752Z