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

Abstract

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

Authors

Lei Yang

Institute for Advanced Study, Princeton, NJ, Department of Mathematics, National University of Singapore, Singapore