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

From To appear in forthcoming issues by Lei Yang

Abstract

In this paper, we will prove an effective version of Ratner’s equidistribution theorem for unipotent orbits in $\mathrm{SL}(2,\mathbb{R})/\mathrm{SL}(3,\mathbb{Z})$ with a natural Diophantine condition.

Keywords
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Milestones
Received: 2022-09-26
Revised: 2024-07-29
Accepted: 2024-09-06

Authors

Lei Yang

Department of Mathematics, National University of Singapore, Singapore 119076