Quantitative behavior of unipotent flows and an effective avoidance principle

Elon Lindenstrauss, Amir Mohammadi, Gregory Margulis +1

We give an effective bound on how much time orbits of a unipotent group $U$ on an arithmetic quotient $G/\Gamma$ can stay near homogeneous subvarieties of $G/\Gamma$ corresponding to $\math…