Conjugacy limits of certain subgroups in $\SL(2,\mathbb{R})\ltimes\mathbb{R}^2$

Abstract

We study conjugacy limits of certain of subgroups inside $\SL(2,\R)\ltimes\R^2$. These subgroups have a common feature that any two in the same category are conjugates of each other.

This article is a part of the previously uploaded article with the title "IRS on orbits and the case of $\SL(2,\mathbb{R})\ltimes\mathbb{R}^2$" from which two separate articles were made; the first one was uploaded with the title "Invariant random subgroups on certain orbits"