An effective closing lemma for unipotent flows

TL;DR

This paper establishes an effective closing lemma for unipotent flows on quotients of perfect real groups, advancing the understanding of unipotent dynamics with practical implications.

Contribution

It introduces a new effective closing lemma specifically for unipotent flows, building on recent developments in unipotent dynamics.

Findings

Proves an effective closing lemma for unipotent flows

Enhances tools for studying unipotent dynamics

Provides a foundation for further quantitative analysis

Abstract

We prove an effective closing lemma for unipotent flows on quotients of perfect real groups. This is largely motivated by recent developments in effective unipotent dynamics.